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Chapter 4: Q. 1 (page 241)

Solve the inequality $3 - 4 x > 5$ . Graph the solution set.

Short Answer

Expert verified

The solution set of $3 - 4 x > 5$ is $(- \infty, - \frac{1}{2})$ and its graph is

Step by step solution

01

Step 1. Using mathematical operations to solve the inequality 3-4x>5.

Add 4x to both sides.

$3 > 5 + 4 x$

Subtract 5 from both sides.

$- 2 > 4 x$

Divide the inequality by 2.

$- \frac{1}{2} > x x < - \frac{1}{2}$

So the solution set of given inequality is $(- \infty, - \frac{1}{2})$ .

02

Step 2. The graph of solution set of inequality 3-4x>5 is as follows.

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