How do you solve the inequality #14.1-2/5h>= -3/10h#?

1 Answer
Nov 30, 2015

Answer:

#h<=141

Explanation:

#14.1-2/5h>=-3/10h#

#14.1=14 1/10=141/10#

Rewrite the expression.

#141/10-2/5h>=-3/10h#

Simplify #2/5h# to #(2h)/5# and #3/10h# to #(3h)/10#.

#141/10-(2h)/5>=-(3h)/10#

Multiply both sides by the common denominator #10#.

#141-((2h)(10))/5>=-3h#

#141-(20h)/5>=-3h#

Simplify.

#141-4h>=-3h#

Subtract #141# from both sides.

#-4h>=-3h-141#

Add #3h# to both sides.

#3h-4h>=-141#

Simplify.

#-h>=-141#

Multiply times #-1#. This will remove the negative signs on both sides and reverse the inequality.

#h<=141#