Question

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

Explanation:

Step1: Isolate the variable p.

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

Step2: Simplify the inequality.

We get $p<6$.
For graphing, since the inequality is $p < 6$ (not $p\leqslant6$), we use an open - circle at 6 and shade the part of the number - line to the left of 6 to represent all the values of $p$ that satisfy the inequality.

Answer:

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