What are the minimum and maximum values of t for which |t + 3| ≤ 2

Solving the absolute value inequality, it is found that:

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In this problem, the inequality is:

Thus, the solution is:

Then:

A similar problem is given at link

Max value for t is -1 and minimum value for t is -5

Step-by-step explanation:

Make two inequalities in regards to absolute value and solve both for t:

t+3<=2 and t+3>=-2

t<=-1     and   t>=-5

The compound inequality would be -1>=t>=-5

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)