How do you solve and graph #-23<=2x - 1<=1#?

1 Answer
EZ as pi
Jun 21, 2016

#-11 <= x <= 1#

Explanation:

Work out the two sides of the inequality separately:

#-23<=2x -1 <=1#

#-23<=2x -1 " and "2x -1 <=1#
On the left, keep the x on the right. On the right keep it on the left.

#-23+1 <=2x " " 2x <= 1+1#
#-" "22 <=2x " " 2x <=2#
#" "-11 <= x " " x <= 1#

The two x terms are the same x, so combine them into one inequality:

#-11 <= x <= 1#

To graph it:

On a number line graph there will be a closed circle on -11 and a closed circle on 2, because both of these values are INCLUDED in the solution. Draw a line between the two circles to indicate that #x# can be any Real number between them.

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