Final answer:
To solve the inequality ½ - ½ p ≥ ½, isolate the variable p by subtracting ½ from both sides and then dividing both sides by -½, which gives the solution p ≤ 1.
Step-by-step explanation:
To solve the inequality ½ - ½ p ≥ ½, we need to isolate the variable p. Let's step through the process:
Subtract ½ from both sides: ½ - ½ - ½ p ≥ ½ - ½
Simplify the left side: -½ p ≥ -½
To remove the negative coefficient, divide both sides by -½ (which is the same as multiplying by -2): p ≤ 1
So the solution to the inequality is p ≤ 1.