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

#title.heat loss in a cylindrical pipe., briefly explain how the famous equ...

briefly explain how the famous equation for the loss of heat in a cylindrical pipe is derived

Determine the number of blue balls in the bag, A bag contains 5 red balls a...

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball , determine the number of blue balls in the bag.

Matrix, how to find eigen value for the given matrix 122 021 -122

how to find eigen value for the given matrix 122 021 -122

How to find total no. of unordered pairs , How to find total no. of unorder...

How to find total no. of unordered pairs of disjoint subsets of a finite set? Solution) Suppose A and B are two such disjoint subsets of the set S. Then every element can go into

Circles - common polar coordinate graphs, Circles - Common Polar Coordinate...

Circles - Common Polar Coordinate Graphs Let us come across at the equations of circles in polar coordinates. 1. r = a . This equation is saying that there is no matter

Solve cos( 4 ) = -1 trig function, Solve cos( 4 θ ) = -1 . Solution ...

Solve cos( 4 θ ) = -1 . Solution There actually isn't too much to do along with this problem.  However, it is different from all the others done to this point.  All the oth

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