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. (2 points)

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

Answer 1

Answer: p≤−2

Step-by-step explanation:

Subtract 4/5 from both sides.

then, multiply both sides by 2/-1 to get p by its self

to graph it you would put a closed dot on -2 then, draw a line to the left of the dot and draw an arrow at the end of the line.

I HOPE THIS HELPS!

Answer 2

Given inequality

• 4/5 - 1/2p ≥ 9/5

Part A

• - 1/2p ≥ 9/5 - 4/5           Subtract 4/5 from both sides
• - 1/2p ≥ 5/5                    Simplify
• - 1/2p ≥ 1            
• p ≤ - 2 × 1                       Multiplying by negative reverses the inequality sign
• p ≤ - 2                           Solution

Part B

• Mark the point - 2 on the number line as closed dot (because this point is included due to 'less or equal' sign) and shade the line to the left from this point.