Question

solve the following inequality and graph the solution.
$3(x - 2) < 2(2x - 1)$

select the correct choice and fill in the answer box to complete your choice
a. $x > \square$
b. $x < \square$
c. $x \leq \square$
d. $x \geq \square$

Explanation:

Step1: Expand both sides

$3x - 6 < 4x - 2$

Step2: Isolate x terms

$3x - 4x < -2 + 6$

Step3: Simplify both sides

$-x < 4$

Step4: Reverse inequality sign

$x > -4$

Answer:

A. $x > -4$

For the graph: On a number line, draw an open circle at $-4$ and shade all regions to the right of $-4$.