# How do you solve #abs(t-6)<=5#?

##### 1 Answer

Jun 1, 2017

#### Explanation:

#"given the inequality "|x|<=a" then the solution"#

#"is always of the form"#

#-a<=x<=a#

#"for " |t-6|<=5#

#rArr-5<=t-6<=5#

#"isolate t in the middle interval by adding 6 to all 3"#

#"intervals"#

#-5+6<=t-6+6<=5+6#

#rArr1<=t<=11" is the solution"#