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

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

Step2: Solve the inequality

Add 6x to both sides: 15 < 10 + x. Then subtract 10 from both sides: x > 5.
The correct representations are the ones that match the simplified and solved - 6x + 15 < 10 - 5x and x > 5. The number - line representation for x > 5 is an open - circle at 5 and an arrow pointing 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.