Question

solve and graph the following inequality: $-\frac{x}{4} < 1$
provide an answer accurate to the nearest tenth.
inequality:
graph:

Explanation:

Step1: Multiply both sides by -4

When multiplying or dividing an inequality by a negative number, the direction of the inequality sign changes. So, multiplying $-\frac{x}{4}<1$ by $- 4$ gives $x>-4$.

Answer:

$x > - 4$

To graph this on a number line:

• Draw a number line.
• Place an open circle at $x = - 4$ (because the inequality is $>$ and $-4$ is not included in the solution set).
• Shade the region to the right of $-4$ on the number line.