ladynlb
Answered

Please help.
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. (2 points)

Part B: How would you graph your solution to Part A on a number line? Explain in words. (2 points)



Answer :

sqdancefan

Answer:

  • p ≤ -2
  • solid dot at p=-2, shading to the left

Step-by-step explanation:

You want to solve the inequality 4/5 -1/2p ≥ 9/5 and describe how the solution is graphed.

Part A: Solution

Fractions can be cleared by multiplying the inequality by 10.

  4/5 -1/2p ≥ 9/5 . . . . . . given

  8 -5p ≥ 18 . . . . . . . . . multiply by 10

  -5p ≥ 10 . . . . . . . . . . subtract 8

  p ≤ -2 . . . . . . . . . . . divide by -5

Part B: Graph

The solution is graphed by placing a solid dot at p=-2, and shading the number line to its left.

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Additional comment

The dot is solid because p=-2 is part of the solution set. If the inequality were "less than", then p=-2 would not be in the solution set, and the dot would be an open circle.

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