How do you solve the two step inequality #1/2t + 3/4 > 1/4t#?

1 Answer
Apr 30, 2018

Answer:

#t> -3#

Explanation:

#"collect terms in t on the left side of the inequality and"#
#"numeric values on the right side"#

#"subtract "1/4t" from both sides"#

#1/2t-1/4t+3/4>cancel(1/4t)cancel(-1/4t)#

#rArr1/4t+3/4>0#

#"subtract "3/4" from both sides"#

#rArr1/4t> -3/4#

#"multiply both sides by 4"#

#rArrt> -3#

#t in(-3,oo)larrcolor(blue)"in interval notation"#