Find the solution set for the inequality. --10x + 10 ≤ -2(4x - 13) A) {x|x -8} B) -8} C) -8} D) {x|x

Question

Find the solution set for the inequality.
--10x + 10 ≤  -2(4x - 13)
A) {x|x > -8} 
B) -8} 
C) -8} 
D) {x|x < -8}

Quizplus · Accepted Answer

-10x + 10 ≤ 11ebb63d_1c09_3e5b_b851_2bcfafe7c576_TB8475_11 -2(4x - 13) can be simplified to:
-10x + 10 ≤ 11ebb63d_1c09_3e5c_b851_5709cea72900_TB8475_11 -8x + 26
Combining like terms, we get:
-10x + 10 ≤ 11ebb63d_1c09_3e5d_b851_33a8d9a16065_TB8475_11 -8x + 36
Simplifying further, we get:
-2x ≤ 11ebb63d_1c09_3e5c_b851_5709cea72900_TB8475_11 -26
2x ≥ -11ebb63d_1c09_3e5c_b851_5709cea72900_TB8475_11 +26
2x ≥ 8
x ≥ 4
Therefore, the solution set is {x|x ≥ 4}, which is equivalent to choice B.

Find the Solution Set for the Inequality