How do you solve the inequality 3y-4> -37?

1 Answer
Mar 11, 2018

See a solution process below:

Explanation:

First add color(red)(4) to each side of the inequality to isolate the y term while keeping the inequality balanced:

3y - 4 + color(red)(4) > -37 + color(red)(4)

3y - 0 > -33

3y > -33

Now, divide each side of the inequality by color(red)(3) to solve for y while keeping the inequality balanced:

(3y)/color(red)(3) > -33/color(red)(3)

(color(red)(cancel(color(black)(3)))y)/cancel(color(red)(3)) > -11

y > -11