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Chapter 3: Q. 20 (page 151)

Solve the inequality. Graph your solution.

14p-5鈮�-3p+114

Short Answer

Expert verified

Solution of the inequality is p鈮�7.

Step by step solution

01

Step 1. Solve the inequality

14p-5鈮�-3p+114

Add 3p and 5 both the sides.

14p鈭�5+3p+5鈮�鈭�3p+114+3p+517p鈮�119

Divide both sides by 17.

p鈮�11917p鈮�7

02

Step 2. Graph the inequality

The solution of the inequality is p鈮�7.

That means, all values p鈮�7 satisfy the inequality. So, the graph can be given as shown below.

03

Step 3. Check the solution

To check the solution, take any random number, p鈮�7 and substitute in the original inequality and observe the result.

Take p=10.

Then,

14脳10鈭�5鈮�鈭�3脳10+114140鈭�5鈮�鈭�30+114135鈮�84

The result 135鈮�84 is true. So, the solution p鈮�7 is correct.

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