Question

The inequality four fifths minus one half times p is greater than or equal to nine fifths is given.

Part A: Solve the inequality for p. Show each step of your work.

Part B: How would you graph your solution to Part A on a number line? Explain in words.

Answer 1

The solution to the given linear inequality is p ≤ -2.

Create a number line from -8 to +2. Draw a closed circle at the -2 mark and draw an arrow from the circle pointing to the left.

Solving Linear Inequality and Graphing on a number line

From the question, we are to solve the given inequality for p.

The given inequality is

4/5 - 1/2×p ≥ 9/5

Solving the inequality for p

4/5 - 1/2×p ≥ 9/5

Subtract 4/5 from both sides

4/5 - 4/5 - 1/2×p ≥ 9/5 - 4/5

-1/2×p ≥ 5/5

-1/2×p ≥ 1

Multiply both sides by -2, and reverse the sign

-2 × -1/2×p ≥ -2 × 1

p ≤ -2

Hence, the solution is p ≤ -2

Part B

To graph the solution on a number line,

Create a number line from -8 to +2. Draw a closed circle at the -2 mark and draw an arrow from the circle pointing to the left.

Learn more on Solving Linear Inequalities here: https://brainly.com/question/24372553

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