4t-4<-12 or 2t+1>11

Answer 1

To solve the inequality 4t - 4 < -12, we can add 4 to both sides of the inequality to isolate the variable:

4t - 4 + 4 < -12 + 4
4t < -8

Now, divide both sides by 4 to solve for t:

4t/4 < -8/4
t < -2

So the solution to the inequality 4t - 4 < -12 is t < -2.

To solve the inequality 2t + 1 > 11, we can subtract 1 from both sides of the inequality to isolate the variable:

2t + 1 - 1 > 11 - 1
2t > 10

Now, divide both sides by 2 to solve for t:

2t/2 > 10/2
t > 5

So the solution to the inequality 2t + 1 > 11 is t > 5.