Question

solve the inequality and graph the solution. 2 > t - 4. 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.

Explanation:

Step1: Isolate the variable t

Add 4 to both sides of the inequality $2>t - 4$. We get $2+4>t-4 + 4$.
$6>t$ or $t<6$.

Step2: Graph the solution

The solution $t < 6$ means all real - numbers less than 6. On the number line, we plot an open circle at 6 (because 6 is not included in the solution, since the inequality is strict) and draw an arrow to the left.

Answer:

The solution of the inequality is $t<6$. On the number - line, we have an open circle at 6 and an arrow pointing to the left.