The answer is 6x > 42/5.
Let's solve the equation one step at a time.
27 − 2(×+2)<-4-3(1-×)
Distribute the -2 in the second term on the left side:
27 − 2(×+2)<-4-3(1-×)
27 - 2x - 4 < -4 - 3 + 3x
27 - 2x - 4 < -7 + 3x
Combine the x terms on the left side:
27 - 2x - 4 < -7 + 3x
-2x + 23 < -7 + 3x
Combine the numeric terms on the right side:
-2x + 23 < -7 + 3x
-2x + 23 < 16 + 3x
Combine the x terms on the right side:
-2x + 23 < 16 + 3x
-5x + 23 < 16
Move the numeric term to the right sid
-5x + 23 < 16
-5x < -7
Isolate x by dividing both sides by its coefficient:
-5x < -7
x > 7/5
Rewrite the inequality to match the answer choices:
x > 7/5
6x > 42/5
The answer is 6x > 42/5.