Question

What is the solution set to the inequality \left(4x-3\right)\left(2x-1\right)\ge0

Answer 1

x≥3/4 and x≥1/2

Explanation:

Given the inequality

`\left(4x-3\right)\left(2x-1\right)\ge0`

We are to find the solution set of the inequality

`\left(4x-3\right)\ge0 \ and \ \left(2x-1\right)\ge0\\4x - 3\ge0 \\4x \ge 3\\x\ge 3/4\\\\Also;\\2x - 1 \ge0\\2x \ge1\\x \ge 1/2`

The solution sets are x≥3/4 and x≥1/2