How do you solve #15x - 8x + 4\geq - 17#?

Question

541 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-04T04:03:50

See a solution process below:

First, combine like terms on the left side of the inequality:

#(15 - 8)x + 4 >= -17#

#7x + 4 >= -17#

Next, subtract #color(red)(4)# from each side of the inequality to isolate the #x# term while keeping the inequality balanced:

#7x + 4 - color(red)(4) >= -17 - color(red)(4)#

#7x + 0 >= -21#

#7x >= -21#

Now, divide each side of the inequality by #color(red)(7)# to solve for #x# while keeping the inequality balanced:

#(7x)/color(red)(7) >= -21/color(red)(7)#

#(color(red)(cancel(color(black)(7)))x)/cancel(color(red)(7)) >= -3#

#x >= -3#