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Solve the inequality. Graph your solution.

y3≤-12

Short Answer

Expert verified
y<-36

Step by step solution

01

Step 1. Given information

Inequality: y3<-12

02

Step 2. Calculation 

Consider given inequality y3<-12,

y3<-12y3×3<-12×3 â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„[Multiplying3onbothsidesandreversetheinequalitysymbol]y<-36 â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„â¶Ä„[Simplify]

03

Step 3. Graph

Using graphing calculator to draw the above inequality,

04

 Step 4. Interpretation

The above graph represents the inequality y<-36.

Therefore, y<-36is the required solution.

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