Solve the absolute value
|2x+3|-5<12

- 10 < x < 7

Step-by-step explanation:

Inequalities of the type | x | < a

Always have solutions of the form

- a < x < a

Given

| 2x + 3 | - 5 < 12 ( add 5 to both sides )

| 2x + 3 | < 17 , then

- 17 < 2x + 3 < 17 ( subtract 3 from all 3 intervals )

- 20 < 2x < 14 ( divide the 3 intervals by 2 )

- 10 < x < 7

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.