Question

Need help with the correct answer

Answer 1

Answer:

x ≤ 4

Step-by-step explanation:

1. 5x - 19 ≤ 1

Add: 5x ≤ 20

Divide: x ≤ 4

2. -4x + 3 > -6

Subtract: -4x > -9

Divide: x < ⁹/₄

3. Or means the union of the two sets, or all values that are in either set.

x ≤ 4 ∪ x < ⁹/₄ is x ≤ 4, since they both inequality signs point left, and 4 is larger than ⁹/₄, so x ≤ 4 also includes x < ⁹/₄.

I see here that x ≤ 4 is not one of the options. I'm not sure what to do then.

Answer 2

Answer:

B.  9/4 <x <= 4

Step-by-step explanation:

5x - 19 <= 1

5x <= 20

 x <= 4

-4x + 3 < - 6

-4x < - 9

  x > 9/4

Answer

9/4 <x <= 4