Question

Solve the compound inequality AND graph the solution on a number line (write

Answer 1

A compound inequality is the combination of one or more inequalities.

The solution to $\mathbf{6 < 4x - 2(x - 2) \le 12}$ is $\mathbf{5< x \le 8}$

The inequality is given as:

$\mathbf{6 < 4x - 2(x - 2) \le 12}$

Open bracket

$\mathbf{6 < 4x - 2x - 4 \le 12}$

$\mathbf{6 < 2x - 4 \le 12}$

Add 4 to all three sides

$\mathbf{6 +4< 2x - 4 + 4\le 12 + 4}$

$\mathbf{10< 2x \le 16}$

Divide through by 2

$\mathbf{5< x \le 8}$

Hence, the solution to $\mathbf{6 < 4x - 2(x - 2) \le 12}$ is $\mathbf{5< x \le 8}$

See attachment for the number line of $\mathbf{5< x \le 8}$

Read more about compound inequalities at:

brainly.com/question/17957246