Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question solve for x and graph the solution on the number line below. 3…

Question

question solve for x and graph the solution on the number line below. 3 > -x - 3 > -5 answer attempt 1 out of 2 < > ≤ ≥ ∞ 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: Add 3 to all parts

$3 + 3> -x-3 + 3> - 5+3$
$6>-x>-2$

Step2: Multiply all parts by -1 and reverse inequality signs

When multiplying an inequality by a negative number, the direction of the inequality signs changes. So we have $-6 < x < 2$.

Answer:

Inequality Notation: $-6 < x < 2$
Number Line: Mark an open - circle at - 6 and an open - circle at 2, and draw a line segment between them.