Question

Solve the inequality. Graph the solutions. 6t - 2 < - 26or * 4t + 4 > 24 Solve the inequality. Choose the correct answer below. O A. t < - 7ort > 3 OB. t > - 7ort > 3 OC. t < - 4ort > 5 OD. 1 > - 4ort > 5 OE. t < - 7nrt < 3 OF t < - 4ort < 5 OG. t > - 7 or t < 3 OH. t > - 4 or t < 5

Answer 1

To solve the first inequality:
6t - 2 < -26

We will add 2 to both sides:
6t - 2 + 2 < -26 + 2
6t < -24

Now, we will divide both sides by 6:
6t/6 < -24/6
t < -4

Thus, the solution to the first inequality is t < -4.

To solve the second inequality:
4t + 4 > 24

We will subtract 4 from both sides:
4t + 4 - 4 > 24 - 4
4t > 20

Now, we will divide both sides by 4:
4t/4 > 20/4
t > 5

Thus, the solution to the second inequality is t > 5.

The solution to both inequalities is t < -4 or t > 5.
Therefore, the correct answer is OG. t > -7 or t < 3.