What are the minimum and maximum values of t for which ſt + 31 < 2?

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the inequality.

t + 31 <2

Determine the minimum and maximum values.

Solution:

In order to solve for the minimum and maximum values, transpose first 31 on the other side of the equation, note that when transposing a number, the sign changes.

t < 2 - 31

t < -29

Th value is  less than -29, in order to get the maximum value, multiply both sides by negative, hence when multiplying a negative in inequality, the inequality sign changes.

t > 29

Final answer:

t < -29

t > 29