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Chapter 2: Q317. (page 183)

Solve the inequality. Graph the solution on the number line and write the solution in the interval notation.

9y+5y+3<4y-35

Short Answer

Expert verified

y<-5

-鈭�,-5

Step by step solution

01

Step 1. Given information.

The given inequality is

9y+5y+3<4y-35

02

Step 2. Solving the inequality.

Distribute and combine like terms:

9y+5y+15<4y-35

14y+15<4y-35

Subtracting 4y+15from both sides and simplifying:

14y+15-4y-15<4y-35-4y-15

10y<-50

Diving both sides by 10 and simplifying:

10y10<-5010

y<-5

The solution to the inequality isy<-5

03

Step 3. Graphing the solution on the number line.

The graph of the solution on the number line is presented below:

04

Step 4. Writing the solution in the interval notation.

The solution in the interval notation can be expressed as

-鈭�,-5

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