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

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .