Chapter 2: Q.2.129 (page 192)

Solve the compound inequality. Graph the solution and write the solution in interval notation.
$1 - 2 x \leq - 3 o r 7 + 3 x \leq 4$

Short Answer

Expert verified

$S o l u t i o n : x \leq - 1 o r x \geq 2 I n t e r v a l n o t a t i o n : (- \infty, - 1] \cup [2, \infty)$

The graph of the solution is

Step by step solution

Step 1. Given information

$1 - 2 x \leq - 3 o r 7 + 3 x \leq 4$

Step 2.Solve Each Inequalities

$1 - 2 x \leq - 3 1 - 2 x - 1 \leq - 3 - 1 - 2 x \leq - 4 \frac{- 2 x}{- 2} \geq \frac{- 4}{- 2} x \geq 2 7 + 3 x \leq 4 7 + 3 x - 7 \leq 4 - 7 3 x \leq - 3 \frac{3 x}{3} \leq \frac{- 3}{3} x \leq - 1$

Step 3. Graph Of The Solution

$G r a p h f o r 1 - 2 x \leq - 3$

Graph for $7 + 3 x \leq 4$

Merge The Graphs of Above inequalities

Step 4. Solution and Interval Notation

$S o l u t i o n : x \leq - 1 o r x \geq 2 I n t e r v a l n o t a t i o n : (- \infty, - 1] \cup [2, \infty)$

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Solve the compound inequality. Graph the solution and write the solution in interval notation.
$1 - 2 x \leq - 3 o r 7 + 3 x \leq 4$

Short Answer

Step by step solution

Step 1. Given information

Step 2.Solve Each Inequalities

Step 3. Graph Of The Solution

Step 4. Solution and Interval Notation

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Solve the compound inequality. Graph the solution and write the solution in interval notation.1-2x≤-3or7+3x≤4

Short Answer

Step by step solution

Step 1. Given information

Step 2.Solve Each Inequalities

Step 3. Graph Of The Solution

Step 4. Solution and Interval Notation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Logic and Functions

Applied Mathematics

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

Solve the compound inequality. Graph the solution and write the solution in interval notation.
$1 - 2 x \leq - 3 o r 7 + 3 x \leq 4$