Question

solve the inequality and graph the solution.
8 - t > 2
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
submit

Explanation:

Step1: Subtract 8 from both sides

$$8 - t-8>2 - 8$$
$$-t>-6$$

Step2: Multiply both sides by -1 and reverse the inequality sign

When multiplying or dividing an inequality by a negative number, the inequality sign flips. So, $(-1)\times(-t)<(-1)\times(-6)$
$$t < 6$$

To graph the solution:

• The endpoint is at \(t = 6\). Since the inequality is \(t<6\), the endpoint is open (a hollow circle).
• The ray extends to the left (towards smaller values of \(t\))

Answer:

The solution of the inequality \(8 - t>2\) is \(t < 6\). On the number - line, we have an open circle at \(6\) and a ray extending to the left.