How do you solve 2( t + 3) < 3( t + 2)?

2 Answers
May 14, 2018

t > 0 graph{2 ( x + 3 ) < 3 ( x + 2 ) [-10, 10, -5, 5]}

Explanation:

2t+6 < 3t + 6
-t < 0
t > 0

May 14, 2018

t>0

Explanation:

First lets simplify the inequality:

2(t+3) < 3(t+2)
2t + 6 < 3t + 6-----> opening the brackets

2t-3t < 6-6

-t<0

When multiplying or dividing by a negative number, the inequality sign changes, from < to >.

Hence we get:

t>0

Check the answer:
Take t = 2

2(2+3) < 3(2+2)#

(2xx5) < (3 xx 4)

10 < 12