Examples with solutions for Inequalities with Absolute Values: Worded problems

Exercise #1

Dice 3 numbers.

The first half is greater than the second sum by 5.

twice the third number and other 7 less than that amount.

What can be said about these elements?

Video Solution

Answer

The first is greater by four times of the third and more 14

Exercise #2

Writer A writes 35 \frac{3}{5} of the number of pages writer B writes per day. Both of them together write more than 200 pages per day.

What can be said about the number of pages that writer A writes per day?

Video Solution

Answer

More than -75

Exercise #3

Gabriel is 14 years older than his brother Simon.

Given that the sum of their ages does not exceed 35, roughly what is Simon's age?

Video Solution

Answer

Between 0 and -10.5

Exercise #4

Given that factory A produces 13 \frac{1}{3} of the productivity of factory B. Both factories together produce less than 700 cartons of milk per day. What can be said about the production of factory A?

Video Solution

Answer

Menor que -175 cajas por día

Exercise #5

Daniel has a number of sweets.

Mariano has 5 times plus 4 more sweets than Daniel

Iván has 8 times plus 14 fewer sweets than Daniel.

Iván has fewer sweets than Mariano.

What is the possible number of sweets that Daniel has in terms of x?

Video Solution

Answer

0 < x < 6