Which of the following values are solutions to the inequality minus, 2, is greater than, 4, x, minus, 6, question mark−2>4x−6?

Question

I., minus, 3, II., minus, 5, III., 1
I.−3II.−5III.1

Answer 1

Let's solve the inequality -2 > 4x - 6:

Add 6 to both sides: 4 > 4x + 4

Subtract 4 from both sides: 0 > 4x

Divide by 4: 0 > x

So, x must be less than 0.

Checking each of the given values:

I. (-3) < 0 - This is a solution
II. (-5) < 0 - This is a solution
III. 1 NOT less than 0 - This is not a solution

Therefore, the solutions to the inequality are -3 and -5.