How do you solve #-7.9x + 5.32\geq - 6x#?

1 Answer
Oct 10, 2017

See a solution process below:

Explanation:

First, add #color(red)(7.9x)# to each side of the inequality to isolate the #x# term while keeping the inequality balanced:

#color(red)(7.9x) - 7.9x + 5.32 >= color(red)(7.9x) - 6x#

#0 + 5.32 >= 1.9x#

#5.32 >= 1.9x#

Now, divide each side of the inequality by #color(red)(1.9)# to solve for #x# while keeping the inequality balanced:

#5.32/color(red)(1.9) >= (1.9x)/color(red)(1.9)#

#2.8 >= (color(red)(cancel(color(black)(1.9)))x)/cancel(color(red)(1.9))#

#2.8 >= x#

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

#x <= 2.8#