Chapter 2: Q. 643 (page 222)

In the following exercise, solve each inequality, graph the solution in the number line and write the solution in interval notation.
$|4 x - 3| \geq 5$

Short Answer

Expert verified

The required answer is $x \leq - \frac{1}{2} o r x \geq 2$ and the graph is

The solution in interval notation is $(- \infty, - \frac{1}{2}] \cup [2, \infty)$

Step by step solution

Step 1. Given information

The given inequality is $x \leq - \frac{1}{2} o r x \geq 2$

Step 2. Calculation

On solving the inequality, we get,

$|4 x - 3| \geq 5 4 x - 3 \leq - 5 o r 4 x - 3 \geq 5 4 x \leq - 2 o r 4 x \geq 8 x \leq - \frac{1}{2} o r x \geq 2$

Step 3. Draw

Draw the solution on the number line.

And the solution in interval notation is $(- \infty, - \frac{1}{2}] \cup [2, \infty)$

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In the following exercise, solve each inequality, graph the solution in the number line and write the solution in interval notation.
$|4 x - 3| \geq 5$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Draw

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In the following exercise, solve each inequality, graph the solution in the number line and write the solution in interval notation.4x-3≥5

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Draw

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Pure Maths

Statistics

Decision Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercise, solve each inequality, graph the solution in the number line and write the solution in interval notation.
$|4 x - 3| \geq 5$