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]
solve the inequality. Graph the solutions.
5t-1≤-11 or 4t+2≥6
1 answer