Question

Please help!!Solve the inequality. Graph the solutions.3t-1< - 10 or 4t + 32 11Solve the inequality. Choose the correct answer below.O A. t< -6 or t24OB. t - 3 or t22OC. t> -3 or t22OD. ts - 3 orts2OF. t> -3 orts2O E. t> -6 orts 4O G. t> -6 or t24OH t< -6 or ts4

Answer 1

The first part of the inequality solves to t < -3, and the second part solves to t >= 2, resulting in two separate ranges of solutions. Since the options provided in the query included typos or were incomplete, the most suitable answer, given the context, is t <= -3 or t >= 2.

Step-by-step explanation:

To solve an inequality and graph the solution, you first need to solve each inequality separately.

Let's take each part of the inequality one at a time:

1. 
   
3. For the first inequality 3t - 1 < -10, add 1 to both sides to get 3t < -9, and then divide everything by 3 to isolate t, resulting in t < -3.
4. 
   
6. For the second inequality 4t + 3 >= 11, subtract 3 from both sides to get 4t >= 8, and then divide everything by 4 to isolate t, which gives us t >= 2.

Now we have the solutions to the two inequalities: t < -3 or t >= 2.

The correct answer to the inequality question is not provided among the options, but the closest to the correct answer would be Option D, which states t <= -3 or t >= 2. This is because the first part of the inequality indicates that t is less than -3, and the second part indicates that t is greater than or equal to 2. However, since the student's query contains some inconsistencies, such as missing or incorrect information in the provided inequalities and answer choices, it is crucial to verify and clarify the question before deciding on the correct answer.

Answer 2

We have the following inequalities given:

`3t-1<-10`

We can add 1 in both sides and we got:

`3t<-9`

And if we divide both sides by 3 we got:

`t<-3`

Now if we analyze the other inequality we have:

`4t+3\ge11`

If we subtract 3 on both sides we got:

`4t\ge8`

And dividing by 4 both sides we got:

`t\ge2`

And then the solution for this case are:

`t<-3,t\ge2`

And the best solution for this case would be B