Question

Solve in inequality: -2 (3x + 5) ≥ 10

Answer 1

x < - 3.333 repeating

Explanation:

-2(3x + 5) >= 10

open the parenthesis

-6x - 10 >= 10

-6x - 10 + 10 >= 10 + 10

-6x > 20

-6x/-6 > 20/-6

since you divided by a negative, the sign gets flipped

x < -3.33 repeating

I'm not sure about this, I think I got something wrong..

Answer 2

x ≤ -10/3

Explanation:

Step 1: Write inequality

-2(3x + 5) ≥ 10

Step 2: Solve for x

1. Distribute -2: -6x - 10 ≥ 10
2. Add 10 to both sides: -6x ≥ 20
3. Divide both sides by -6: x ≤ 20/-6
4. Simplify: x ≤ -10/3

Here we see that any value less than or equal to -10/3 will work as a solution.