4t-4<-12 or 2t+1>11
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.
Let's solve each inequality step-by-step:
1) Solve 4t - 4 < -12:
To isolate t, we will add 4 to both sides of the inequality:
4t - 4 + 4 < -12 + 4
4t < -8
Next, we divide both sides of the inequality by 4:
4t/4 < -8/4
t < -2
2) Solve 2t + 1 > 11:
To isolate t, we will subtract 1 from both sides of the inequality:
2t + 1 - 1 > 11 - 1
2t > 10
Next, we divide both sides of the inequality by 2:
2t/2 > 10/2
t > 5
So, the solutions to the inequalities are t < -2 or t > 5.
To solve the inequality 4t - 4 < -12, we need to isolate the variable "t" on one side of the inequality symbol. Here's the step-by-step process:
1. Start by adding 4 to both sides of the inequality to eliminate the constant term on the left side:
4t - 4 + 4 < -12 + 4
4t < -8
2. Next, divide both sides of the inequality by 4 to isolate the variable "t":
(4t)/4 < (-8)/4
t < -2
Therefore, the solution to the first inequality is t < -2.
Now, let's solve the second inequality: 2t + 1 > 11.
1. Start by subtracting 1 from both sides of the inequality to eliminate the constant term on the right side:
2t + 1 - 1 > 11 - 1
2t > 10
2. Divide both sides of the inequality by 2 to isolate the variable "t":
(2t)/2 > (10)/2
t > 5
Therefore, the solution to the second inequality is t > 5.
To summarize:
- For the first inequality, the solution is t < -2.
- For the second inequality, the solution is t > 5.