Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for x and graph the solution on the number line below. -1 > \\fra…

Question

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

Explanation:

Step1: Multiply both sides by -4

When multiplying an inequality by a negative number, the direction of the inequality sign changes. So, $-1\times(- 4)<\frac{x}{-4}\times(-4)$.
$4 < x$

Answer:

$x>4$
On the number - line, you would draw an open circle at 4 (because 4 is not included in the solution) and draw an arrow to the right to represent all the numbers greater than 4.