How do you solve the inequality #2x> -6# and #x - 4<=3# ?

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How do you solve the inequality #2x> -6# and #x - 4<=3# ?

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Answer 1 · 2015-12-22T23:38:06

#x>##-3#, #x<=7#

Explanation:

#2x>##-6#
#2xcolor(red)(-:2)>##-6color(red)(-:2)#
#x>##-3#

#x-4<=3#
#x-4# #color(red)(+4)<=3# #color(red)(+4)#
#x<=7#

Since you do not have to multiply or divide by a negative number in both questions, the "#>#" and "#<=#" signs are not flipped. Instead, they remain the same.

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How do you solve the inequality #2x> -6# and #x - 4<=3# ?

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