Which of the following values are solutions to the inequality minus, 2, is greater than, 4, x, minus, 6, question mark−2>4x−6?
I., minus, 3, II., minus, 5, III., 1
I.−3II.−5III.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.