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.
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
#SPJ1