Question

solve the inequality.

1. (x + 8>12)

1. graph the inequality.

Explanation:

Step1: Isolate the variable

Subtract 8 from both sides of $x + 8>12$.
$x+8 - 8>12 - 8$

Step2: Simplify

$x>4$
For graphing, since the inequality is $x>4$ (strict - greater than), we use an open - circle at $x = 4$ to indicate that 4 is not included in the solution set, and shade the number - line to the right of 4 to represent all values of $x$ that satisfy the inequality.

Answer:

1. $x>4$
2. On the number - line, draw an open circle at $x = 4$ and shade the line to the right of $4$.