Question

solve for ( x ) and graph the solution on the number line below.
( -1 > \frac{x}{-4} )
answer attempt 1 out of 2
( < ) ( > ) ( leq ) ( geq ) or
inequality notation:
number line:
(number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12 marked)
submit answer

Explanation:

Step1: Multiply both sides by -4 (reverse inequality)

When multiplying or dividing an inequality by a negative number, the inequality sign flips. So, multiply both sides of \(-1 > \frac{x}{-4}\) by \(-4\):
\(-1 \times (-4) < x\)

Step2: Simplify the left side

\(-1 \times (-4) = 4\), so we get \(4 < x\) or \(x > 4\).

Answer:

Inequality Notation: \(x > 4\)

(For the number line: Draw an open circle at 4 and shade to the right, since \(x\) is greater than 4 but not equal to 4.)