How do you solve #\frac { 5( x - 2) } { 2} \geq \frac { 2x } { 11} - 8#?

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Answer 1 · 2017-11-05T12:08:44

Given: #(5( x - 2))/ 2 >= (2x)/11 - 8#

Multiply both sides by 22:

#55(x-2)>= 4x-176#

Perform the implied multiplication on the left side:

#55x-110>= 4x-176#

Add 110 to both sides:

#55x >= 4x - 66#

Subtract 4x from both sides:

#51x >= -66#

Divide both sides by 51:

#x >= -66/51#

Reduce the fraction:

#x >=-22/17#