How do you solve the inequality 4x - 2 < 6 or 3x + 1 > 22?

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Answer 1 · 2015-09-10T08:59:37

#color(green)(x<2)# or #color(green)(x>7)#

Each inequality has a solution, which is usually an interval.

and means the intersection of two intervals.

or means the union of two intervals.

So in this problem, we solve both inequalities independently, then get their union.

#color(blue)(4x-2<6)#
#4x<8#
#color(green)(x<2)#

#color(blue)(3x+1>22)#
#3x>21#
#color(green)(x>7)#

Therefore, the answer is #color(green)(x<2)# or #color(green)(x>7)#.