Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for x and graph the solution on the number line below. \\(\\frac{…

Question

solve for x and graph the solution on the number line below.
\\(\frac{x}{-2}<4\\)
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Multiply both sides by -2

When multiplying an inequality by a negative number, the direction of the inequality sign changes. So, $x>4\times(- 2)$.

Step2: Calculate the right - hand side

$x > - 8$.

Answer:

; $x > - 8$

To graph on the number line, draw an open circle at - 8 (because the inequality is strict, i.e., $x$ is greater than but not equal to - 8) and draw an arrow to the right of - 8 to represent all the numbers greater than - 8.