Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the inequality. (a) (p - 4<2) (b) graph the inequality.

Question

solve the inequality.
(a) (p - 4<2)
(b) graph the inequality.

Explanation:

Step1: Isolate the variable p

Add 4 to both sides of $p - 4<2$.
$p-4 + 4<2 + 4$

Step2: Simplify the inequality

$p<6$
For graphing, since $p$ is strictly less than 6, we use an open - circle at 6 and shade the region to the left of 6 on the number - line.

Answer:

(a) $p < 6$
(b) On a number - line, draw an open circle at 6 and shade the line to the left of 6.