How do you solve #x- 8\leq 4x + 7#?

1 Answer
Feb 20, 2017

#x>=-5#

Explanation:

collect x terms on right side of inequality and numeric values on the left side.

subtract x from both sides.

#cancel(x)cancel(-x)-8<=4x-x+7#

#rArr-8<=3x+7#

subtract 7 from both sides.

#-8-7<=3xcancel(+7)cancel(-7)#

#rArr-15<=3x#

To solve for x, divide both sides by 3

#(-15)/3<=cancel(3 x)/cancel(3)#

#rArr-5<=x" or " x>=-5#