Question

step 1: -10 + 8x < 6x - 4
step 2: -10 < -2x - 4
step 3: -6 < -2x
step 4: ______
what is the final step in solving the inequality -2(5 - 4x) < 6x - 4?
○ x < -3
○ x > -3
○ x < 3
○ x > 3

Explanation:

Step1: Divide both sides by -2

$\frac{-6}{-2} > \frac{-2x}{-2}$
Note: Inequality sign flips when dividing by a negative number

Step2: Simplify both sides

$3 > x$ or $x < 3$

Answer:

x < 3 (Option: x < 3)