Question

question
solve the following inequality for p. write your answer in simplest form.
-4p - (5p - 4) ≤ 7p + 10 + 3p
answer attempt 1 out of 5
p < >
submit answer

Explanation:

Step1: Simplify both sides

Left side: $-4p - (5p - 4) = -4p - 5p + 4 = -9p + 4$
Right side: $7p + 10 + 3p = 10p + 10$
So the inequality becomes $-9p + 4 \leq 10p + 10$.

Step2: Move terms with p to one side

Add $9p$ to both sides: $4 \leq 19p + 10$.

Step3: Isolate the term with p

Subtract 10 from both sides: $-6 \leq 19p$.

Step4: Solve for p

Divide both sides by 19: $-\frac{6}{19} \leq p$ (or $p \geq -\frac{6}{19}$).

Answer:

$p \geq -\dfrac{6}{19}$