Chapter 2: Q.2.122. (page 189)

Solve the compound inequality. Graph the solution and write the solution in interval notation: 3x − 4 < 5 and
4x + 9 ≥ 1.

Short Answer

Expert verified

$S o l u t i o n : - 2 \leq x < 3 I n t e r v a l n o t a t i o n : [- 2, 3)$

The solution graph is

Step by step solution

Step 1. Given information

$3 x - 4 < 5 a n d 4 x + 9 \geq 1$

Step 2. Solve inequalities

$3 x - 4 < 5 \Rightarrow 3 x < 9 \Rightarrow x < 3 a n d 4 x + 9 \geq 1 \Rightarrow 4 x \geq - 8 \Rightarrow x \geq - 2$

Step 3. Draw the graphs of each solution

Graph of $3 x - 4 < 5$

Graph of $4 x + 9 \geq 1$

Step 4. Merge overlapping intervals and notate intervals.

$S o l u t i o n : - 2 \leq x < 3 I n t e r v a l n o t a t i o n : [- 2, 3)$

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Solve the compound inequality. Graph the solution and write the solution in interval notation: 3x − 4 < 5 and
4x + 9 ≥ 1.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solve inequalities

Step 3. Draw the graphs of each solution

Step 4. Merge overlapping intervals and notate intervals.

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Solve the compound inequality. Graph the solution and write the solution in interval notation: 3x − 4 < 5 and4x + 9 ≥ 1.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solve inequalities

Step 3. Draw the graphs of each solution

Step 4. Merge overlapping intervals and notate intervals.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Decision Maths

Discrete Mathematics

Logic and Functions

Calculus

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve the compound inequality. Graph the solution and write the solution in interval notation: 3x − 4 < 5 and
4x + 9 ≥ 1.