Question

directions: select a ray then drag the endpoint to the correct location on the number line.
graph the solution set of the inequality: $-\frac{1}{4}(4t + 2) > 5$

Explanation:

Step1: Solve the inequality

Multiply both sides by \(- 1\) (and reverse the inequality sign): \(4t + 2\lt - 5\)
Subtract \(2\) from both sides: \(4t\lt - 5 - 2\), so \(4t\lt - 7\)
Divide both sides by \(4\): \(t\lt-\frac{7}{4}=-1.75\)

Step2: Graph the solution on the number - line

Since \(t\lt - 1.75\), we use an open circle at \(-1.75\) (because the inequality is strict, \(t\) is not equal to \(-1.75\)) and draw a ray to the left.

Answer:

On the number - line, place an open circle at \(-1.75\) and draw a ray to the left.