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Chapter 6: Q54. (page 280)

Solve the inequality. (Lesson 5.7)

鈭�59x+1>227

Short Answer

Expert verified

The solution isx<鈭�13535.

Step by step solution

01

Step 1.  Given

The given inequality is鈭�59x+1>227.

02

Step 2.  To determine

We have to solve the inequality鈭�59x+1>227.

03

Step 3.  Calculation 

Solve the given inequality.

鈭�59x+1>227鈭�5x+99>227鈥勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌刐鈭�TakingLeastcommonfactor]鈭�5x+9鈥�路鈥�7>22鈥�路鈥�9鈭�35x+63>198鈭�35x+63鈭�63>198鈭�63鈥勨�勨�勨�勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌刐鈭�Subtracting63onbothsides]鈭�35x>135x<鈭�13535鈥勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌勨赌刐鈭�Dividing-35onbothsidesandreversingtheinequalitysign]

Hence, x<-13535 is the required solution.

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