solve the inequality. Graph the solutions.

5t-1≤-11 or 4t+2≥6

1 answer

To solve the inequality 5t - 1 ≤ -11, we first isolate t by adding 1 to both sides:

5t ≤ -10

Next, divide both sides by 5 to solve for t:

t ≤ -2

Now let's solve the inequality 4t + 2 ≥ 6. To isolate t, subtract 2 from both sides:

4t ≥ 4

Divide both sides by 4:

t ≥ 1

Now we can graph the solutions on a number line. We put an open circle at -2 to indicate that t is not equal to -2, and draw an arrow to the left to represent values less than -2. Then, we put a closed circle at 1 to indicate that t is equal to 1 or greater, and draw an arrow to the right to represent values greater than 1.

-2 1
----o=====o---->
(-2,1]