What is the greatest value of the number, Mathematics

Assignment Help:

Five more than the quotient of a number and 2 is at least that number. What is the greatest value of the number?

Let x = the number. Notice that quotient is a key word for division, and at least means greater than or equal to. From the question, the sentence would translate to: x + 5 ≥ x. Subtract 5 from both sides of the inequality: x/2 + 5 - 5 ≥ x - 5; simplify: x/2 ≥ x - 5. Multiply both sides of x the inequality through 2: x/2 × 2 ≥ (x - 5) × 2; simplify: x ≥ (x - 5)2. Use the distributive property on the right side of the inequality: x ≥ 2x - 10. Add 10 to both sides of the inequality: x + 10 ≥ 2x - 10 + 10; simplify: x + 10 ≥ 2x. Subtract x from both sides of the inequality: x - x + 10 ≥ 2x - x.

The variable is now alone: 10 ≥ x. The number is at most 10.


Related Discussions:- What is the greatest value of the number

Demerits and merit-the geometric mean , The geometric mean Merits ...

The geometric mean Merits i.  This makes use of all the values described except while x = 0 or negative ii.   This is the best measure for industrial increase rates

Craig D, i need help in discrete mathematics on sets, relations, and functi...

i need help in discrete mathematics on sets, relations, and functions.

Rectilinear figure, In a parallelogram ABCD AB=20cm and AD=12cm.The bisecto...

In a parallelogram ABCD AB=20cm and AD=12cm.The bisector of angle A meets DC at E and BC produced at F.Find the length of CF.

Tent originally sold for $2 what is the percent of discount, A tent origina...

A tent originally sold for $260 and has been marked down to $208. What is the percent of discount? Find out the number of dollars off. $260 - $208 = $52. Further, determine wha

#rounding off, I am the least two digit number which round off to 100?

I am the least two digit number which round off to 100?

Classify linear or nonlinear, Question: Classify the following differen...

Question: Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations? Xy'-2y =x Xy'' -2y' =xsin(y)

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd