Question

Solve the inequality.

7x - 1 <= 7

1. x <=-1
2. x <= 4
3. x <= 1
4. x>=-1

Answer 1

Option #1, 3 and 4

Explanation:

7x - 1 <= 7

Let's try them one by one:

1)

x <= -1

-7 - 1 = -8 is less than or equal to 7: True

There could be multiple answers, so let's do the other ones:

2)

x <= 4

28 - 1 = 27 <= 7: False

3)

x <= 1

7 - 1 = 6 <= 7: True

4)

x >= -1

-7 - 1 <= 7

-8 <= 7: True

Therefore, #1, 3, and 4 are correct.

Hope this helped!

Answer 2

I got x <= 8/7 which is none of the answer options given. Ask your professor about that.

Explanation:

7x-1 <= 7

add 1 on each side

7x <= 8

Divide by 7 on both sides

7x/7 <= 8/7

Final answer

x <= 8/7