Chapter 2: Q.2.121. (page 188)

Solve the compound inequality. Graph the solution and write the solution in interval notation: 4x − 7 < 9 and
5x + 8 ≥ 3.

Short Answer

Expert verified

Solution in interval notation is [-1, 4)

The solution graph is

Step by step solution

Step 1. Given information

$4 x - 7 < 9 a n d 5 x + 8 \geq 3 .$

Step 2. Solve inequalities

$4 x - 7 < 9 \Rightarrow 4 x < 16 \Rightarrow x < 4 a n d 5 x + 8 \geq 3 \Rightarrow 5 x \geq - 5 \Rightarrow x \geq - 1$

Step 3.Draw Graph of the solution

Graph of $4 x - 7 < 9$

Graph of $5 x + 8 \geq 3$

Step 4. Merge overlapping intervals and notate intervals

$[\begin{matrix} Solution : & - 1 \leq x < 4 \\ Interval Notation : & [- 1, 4) \end{matrix}]$

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Solve the compound inequality. Graph the solution and write the solution in interval notation: 4x − 7 < 9 and
5x + 8 ≥ 3.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solve inequalities

Step 3.Draw Graph of the 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: 4x − 7 < 9 and5x + 8 ≥ 3.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solve inequalities

Step 3.Draw Graph of the 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

Mechanics Maths

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Probability and Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Solve the compound inequality. Graph the solution and write the solution in interval notation: 4x − 7 < 9 and
5x + 8 ≥ 3.