How do you solve #2/(-3)x -1/2( 4x - 1) >= x + 2( x - 3)#?

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Answer 1 · 2017-09-25T18:42:23

Eliminate the denominators by multiplying by -6 (remember to change the inequality)
Combine like terms.

Given: #2/(-3)x -1/2( 4x - 1) >= x + 2( x - 3)#

Multiply both sides by -6:

#4x +3(4x - 1) <= -6x - 12( x - 3)#

Use the distributive property on both sides:

#4x +12x - 3 <= -6x - 12x + 36#

Combine like terms:

#34x <= 39#

#x <= 39/34#