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91Ó°ÊÓ

Solve the inequality.

23x+9≤172

Short Answer

Expert verified

The solution isx≤−34 .

Step by step solution

01

Step-1 – Given

The given inequality is:23x+9≤172.

02

Step-2 – To determine

We have to solve the inequality23x+9≤172

03

Step-3 – Calculation 

Solve the given inequality.

23x+9≤1722x+273≤172 â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„[∵TakingLeastcommonfactor]2x+27 · 2≤17 · 32x+27 · 2≤514x+54≤514x+54−54≤51−54      â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„[∵Subtracting54onbothsides]4x≤−34x4≤−34              â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„[∵Dividing4onbothsides]x≤−34

Hence, x≤−34is the required solution.

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