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Can someone help me out with this question fast!?!?!

Can someone help me out with this question fast!?!?!-example-1

1 Answer

4 votes
Answer is -4 < x < 1 (Third choice)

Step by step

-26 <4x -10<-6

-26 < 4x - 10 and 4x - 10 < -6

Solve each

-26 < 4x -10
add 10 to both sides to isolate variable

-26 + 10 < 4x -10 + 10
Simplify

-16 < 4x
Divide both sides by 4 to solve for x

-4 < x solution #1

4x - 10 < -6
add 10 to both sides to isolate x

4x - 10 + 10 < -6 + 10
Simplify

4x < 4
Divide both sides by 4 to solve for x

4/4 x < 4/4
Simplify

x < 1 solution #2

Now combine the two solutions


-4 < x and x < 1
Merge overlapping x

-4 < x < 1 is your answer
User EsotericVoid
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