Question

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

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

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

\(4 > x\), which can be written as \(x < 4\)

Answer:

\(x < 4\)

To graph this on a number line:

• Draw a number line.
• Place an open circle at \(x = 4\) (because \(4\) is not included in the solution, since the inequality is \(x<4\)).
• Shade the line to the left of \(4\) to represent all values of \(x\) that are less than \(4\).