Chapter 2: Q. 2.152 (page 206)

Solve $|3 x - 4| \geq 2 .$ Graph the solution and write the solution in internal notation .

Short Answer

Expert verified

The required solution is $(- \infty, \frac{2}{3}] \cup [2, \infty)$

Step by step solution

Given information

$|3 x - 4| \geq 2$

Calculation

$|3 x - 4| \geq 2 \Rightarrow - 2 \geq 3 x - 4 \geq 2 \Rightarrow - 2 + 4 \geq 3 x \geq 2 + 4 \Rightarrow 2 \geq 3 x \geq 6 \Rightarrow \frac{2}{3} \geq x \geq \frac{6}{3} \Rightarrow \frac{2}{3} \geq x \geq 2$

The solution in interval notation is $(- \infty, \frac{2}{3}] \cup [2, \infty)$

Graph the solution

Graph is

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Solve $|3 x - 4| \geq 2 .$ Graph the solution and write the solution in internal notation .

Short Answer

Step by step solution

Given information

Calculation

Graph the solution

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Solve3x-4≥2.Graph the solution and write the solution in internal notation .

Short Answer

Step by step solution

Given information

Calculation

Graph the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Mechanics Maths

Probability and Statistics

Logic and Functions

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Solve $|3 x - 4| \geq 2 .$ Graph the solution and write the solution in internal notation .