Question

Which graph represents the solution set of the compound inequality mc011-1.jpg?

Answer 1

Thank you for asking this question. Here is your answer:

We have inequality A:

-4 ≤ 3x -1

-4 + 1 ≤3x

-3 ≤ 3x

-1 ≤ x

x≥ -1

And inequality B:

2 x + 4 ≤18

2x≤18 - 4

x≤14/2

x≤7

So if we combine the solutions of both inequalities we will get this

[-1,∞) ∩ (-∞,7]=[-1,7]

If there is any confusion please leave a comment below.

Answer 2

Answer:

Thank you for asking this question. Here is your answer:

We have inequality A:

-4 ≤ 3x -1

-4 + 1 ≤3x

-3 ≤ 3x

-1 ≤ x

x≥ -1

And inequality B:

2 x + 4 ≤18

2x≤18 - 4

x≤14/2

x≤7

So if we combine the solutions of both inequalities we will get this

[-1,∞) ∩ (-∞,7]=[-1,7]

If there is any confusion please leave a comment below.

Step-by-step explanation: