Question

solve for ( x ) and graph the solution on the number line below.

-1 < \frac{x}{-4}

answer attempt 1 out of 2

inequality notation:

number line:

submit answer

Explanation:

Step1: Multiply both sides by -4

When multiplying an inequality by a negative number, the inequality sign flips. So, \(-1\times(-4)>\frac{x}{-4}\times(-4)\)

Step2: Simplify

Simplify the left - hand side: \(-1\times(-4) = 4\), and the right - hand side: \(\frac{x}{-4}\times(-4)=x\). So, \(4 > x\) or \(x < 4\)

Answer:

Inequality Notation: \(x < 4\)

To graph \(x < 4\) on the number line:

• Place an open circle at \(x = 4\) (because the inequality is strict, \(x

eq4\)).

• Shade the line to the left of \(4\) (towards the negative direction) to represent all values of \(x\) that are less than \(4\).