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Chapter 5: Q. 2 PT (page 325)

Solve each inequality. Then graph it on a number line.

6p≥5p−3

Short Answer

Expert verified

The solution of the given inequality 6p≥5p−3is p≥−3.

The graph of the solution of the given inequality 6p≥5p−3that is graph ofp≥−3 is:

Step by step solution

01

Step 1. Write the subtraction property of inequalities.

The subtraction property of inequalities states that if the same number is subtracted from each side of a true inequality, the resulting inequality is also true that is:

  1. If a>b, then a−c>b−c.
  2. If a<b, then .a−c<b−c.
02

Step 2. Solve the given inequality 6p≥5p−3.

The solution of the given inequality 6p≥5p−3is:

6p≥5p−36p−5p≥5p−3−5pbyusingsubtractionpropertyofinequalityp≥5p−5p−3p≥−3

Therefore, the solution of the given inequality 6p≥5p−3is p≥−3.

03

Step 3. Draw the graph of the inequality p≥−3.

The graph of the solution of the given inequality 6p≥5p−3that is graph of p≥−3is:

It can be noticed that at p=−3, there is closed circle because−3 is included in the inequality p≥−3.

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