How do you solve #22\geq \frac { x + 91} { 4}#?

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Answer 1 · 2017-05-16T11:55:39

See a solution process below:

First, multiply each side of the inequality by #color(red)(4)# to eliminate the fraction while keeping the inequality balanced:

#color(red)(4) xx 22 >= color(red)(4) xx (x + 91)/4#

#88 >= cancel(color(red)(4)) xx (x + 91)/color(red)(cancel(color(black)(4)))#

#88 >= x + 91#

Now, subtract #color(red)(91)# from each side of the inequality to solve for #x# while keeping the inequality balanced:

#88 - color(red)(91) >= x + 91 - color(red)(91)#

#-3 >= x + 0#

#-3 >= x#

To state the solution in terms of #x# we can reverse or "flip" the entire inequality:

#x <= -3#