Question

solve for x and graph the solution on the number line below. -x + 3 > 2 or -6 > -x + 3 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 click and drag to plot line. submit answer

Explanation:

Step1: Solve the first - inequality

Subtract 3 from both sides of $-x + 3>2$.
$-x+3 - 3>2 - 3$
$-x>-1$
Multiply both sides by - 1 and reverse the inequality sign.
$x < 1$

Step2: Solve the second - inequality

Subtract 3 from both sides of $-6>-x + 3$.
$-6-3>-x+3 - 3$
$-9>-x$
Multiply both sides by - 1 and reverse the inequality sign.
$x>9$

Answer:

Inequality Notation: $x < 1$ or $x>9$
For the number - line: There is an open circle at $x = 1$ and the line extends to the left of 1, and there is an open circle at $x = 9$ and the line extends to the right of 9.