How do you solve this inequality? 4t−4<−20 or 3t + 1t >10

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Answer 1 · 2018-06-18T13:24:17

#2.5<t<4#

Given:

#4t-4<20#

#3t+1t>10#

The second inequality becomes #4t>10#.

Solving the first inequality, we find that:

#4t<16#

#t<16/4#

#t<4#

Solving the second inequality, we get:

#4t>10#

#t>10/4#

#t>2.5#

or

#2.5<t#

We can see that combining the inequalities together, we get:

#2.5<t<4#