How do you solve 3- 2x \geq - 3?

1 Answer
Oct 12, 2017

x<=3

Explanation:

You're simply solving for x:

color(blue)(3-) 2x-3 >= -3 color(blue)(- 3)
Subtract 3 from both sides

-2x>=-6
Simplify

(color(blue)(-1))-2x <= -6 (color(blue)(- 1))
Multiply both sides by -1 (this will reverse the inequality)

NOTE: Whenever multiplying or dividing by a negative value, always flip your inequality sign

2x<=6
Simplify

(2x)/color(blue)(2) <= 6/color(blue)(2)
Divide both sides by 2

color(green)(x <= 3)
Simplify once more, and you're done!