EXAMPLE 7 Absolute value inequality Solve 5 3x 6 and graph the solution set. Solution 6 5 3x 6 Equivalent inequality 11 3x 1 Subtract 5 from each part.

Which set of points is in the solution set for the system of inequalities: x ... Which value of x is in the solution set of the inequality: ... {0,-5} [4] {0,5} 17.

LO 17-5.3: Solve absolute-value inequalities using the “greater than” relationship. To solve an absolute-value inequality ... x > b. Solve . Show the solution set ...

Solve and graph the solution set: –5x + 3 ... x = 5 or x = −9 Solution Section 17-6: Absolute-Value ... −5 < x and x < 1 Write solution as compound inequality.

Absolute Value Inequalities. Example 13. State the solution of each of the following inequalities. a. |x| > −5 b. |x| > 0 c. |x| > 4 Solution: a.

How to Solve ABS(8-3x)

That means the value of x may include 6. The solution set to an inequality is the set of all numbers that make the number statement true. ... 11 12 13 14 15 16 17 .

SOLVING ABSOLUTE VALUE INEQUALITIES. Solution. a. Solve . 2 17. x +< ... the inequality is always true. The solution set includes all ... 5 15 0 x += which has ...

(Section 3.5) Write an inequality of the form x a C ... so that the inequality has the given solution set. a) 3,3 b) 2,8 c) 3,17 d) f f,9 13, 2.

... solve each absolute value equation. 1. x − 2 = 8 2. 4x −5 = 3 3. ... solve each absolute value inequality. Graph the solution set on a real ... 17. 45x + 7 ...

the factor x 5: Value ... satisfy the original inequality. Solving Rational Inequalities ... State and graph the solution set. See Examples 3 and 4. 17. x x 3 0 18. a ...

150 Scanning solution set of inequality system ... break; case 5:fv[i]=x*y;break; case 6:fv[i] ... (x);break; case 17:fv[i]=atan(x);break;

The graph of an inequality is the solution set, ... 5. Solve and graph x + 8 ≥ 4x + 17. ... compared with x (5 in Example 5), † a value less than

... a desk drawer. write the specification as an absolute value inequality. A ... in the ratio 3 : 4 : 5. ... the inequality. Graph the solution set. 26 + 6b ...

What value of x makes the equation on the right true? 4. _____ A . 24 B . 17 C. 72 D. 51. What is the solution set to the ... What values of x make the inequality ...

Absolute value inequalities have infinitely many ... divide both sides by -5! Note that the inequality sign changes direction ... Find the solution set for 7 - (x ...

Write the absolute value inequality as a compound inequality, and solve it. |4 + 5x ... Solve and plot the solution set ... Find out the absolute value inequality ...

Description. solve(eq, x) returns the set of all complex solutions of an equation or inequality eq with respect to x. solve(eq, x = a..b) returns the set of all ...

reverse the inequality symbol. Place the solution set in the ... (5): −5 < x +3

TEST x = 1. TRUE. Solve the absolute value equations. ... CHECK. Solve and find the solution for each absolute value inequality as an interval. ... 1/28/2013 5:17:00 PM

Section 8.1 Writing and Graphing Inequalities 331 A solution of an inequality is a value that makes the inequality true. An inequality can have more than one solution.

When the final result in solving an equation is 5 8, the solution set is ... 16. x 4 17. x 1 Solve each inequality and check your ... If 5(x2) 40, what is the value of ?

Graph the solution set of the inequality and ... not divide BY a negative value. Ex: 4x ≤ -16 To solve ... equations such as 11 = 4 + 7 or 3 × 5 = 17 ...

Example 16: Find all values that would satisfy the following absolute value inequality. 2 4 5 To find the set of real numbers that wou ld satisfy this

what is the symbol used for a union solution set of a compound inequality Topic ... that x has to be less; than or equal to 17 and ... Absolute Value Equations ...

In order to solve an Absolute Value Inequality, ... In order to solve an Absolute Value Inequality, the solution is a set of numbers ... The Solution is (x>=5 OR x ...

* Inequalities Definition Start with an equation 3x + 5 = 17 Replace ... positive value If negative value used, inequality ... solution set includes the x ...

MATH 121 Absolute Value Problems 1. (Section 2.5) Write an inequality of the form xa− C so that the inequality has the given solution set.

... Solving Absolute Value Equations and Inequalities ... If not, then the solution set is _____. Examples x − = 2 3 11 ... x − < 2 1 x − < 2 6 8 x + < 3 5 17 ...

3. 5 – 2x ≤ 17 y < –18 ... each inequality. Rewrite the absolute value as a conjunction. |p – 2| ≤ –6 and p ... the solution set. –2|x +5| > 10

SOLUTION: How do I write the solution set of {x ... How do I write the solution set of {x| } ... 10 = 0 gives critical value x = 10 x + 11 = 0 gives critical ...

To solve a rational inequality, set both the numerator ... x = 3 is an excluded value. Set numerator ... The critical value 3 is not included in the solution set ...

The graph of a compound inequality containing the word "and" is the intersection of the solution set of the two inequalities. A compound inequality divides the number ...

Which value of x is in the solution set of the inequality: -2x + 5 > 17 ? Choose one:

Find all values that would satisfy the following inequality. 17 The solution set is ... value 2 inequality 6 5 17 ... inequality 5 or 5 x xx t d t Hence, set of ...

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to the inequality x – 3 < 5, while x = 10 is not a solution to this inequality. The set of all the solutions for an inequality is ... Solving Absolute Value ... - Read more