Express the set − 2 x + 12 ≤ 2 x + 4 using interval notation.

Answer 1

-2x + 12 < 2x +4

subtract 2x from both sides

-4x +12 < 4

subtract 12 from both sides

-4x<4-12 =-8

divide by -4

when you multiply or divide by a negative number it reverses the inequality

x >2

x>2 as the problem involved = or < not just <

in interval notation

x is in the interval [2, +infinity)