Question

which are correct representations of the inequality -3(2x - 5) < 5(2 - x)? select two options. x < 5 -6x - 5 < 10 - x -6x + 15 < 10 - 5x

Explanation:

Step1: Expand both sides

Expand -3(2x - 5) and 5(2 - x).
-3(2x - 5)=-6x + 15 and 5(2 - x)=10 - 5x. So the inequality becomes -6x + 15 < 10 - 5x.

Step2: Solve for x

Add 6x to both sides: 15 < 10 + x.
Subtract 10 from both sides: x > 5.
The number - line representation of x > 5 has an open - circle at 5 and the arrow points to the right.

Answer:

C. -6x + 15 < 10 - 5x
D. (the number - line with an open - circle at 5 and arrow pointing to the right)