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

501, Ask queThe low temperature in Anchorage, Alaska today was -4°F. The lo...

Ask queThe low temperature in Anchorage, Alaska today was -4°F. The low temperature in Los Angeles, California was 63°F. What is the difference in the two low temperatures?stion #M

Equal groupings -categories of multiplication, Equal groupings - when we...

Equal groupings - when we want to find how many objects there are in several equal-sized sets. (e.g., if there are 3 baskets, each with 4 bananas, 4 oranges and 4 apples, respec

Can u please tell me how to solve, a triangle with side lengths in the rati...

a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle

Power of iota, The next topic that we desire to discuss here is powers of i...

The next topic that we desire to discuss here is powers of i. Let's just take a look at what occurring while we start looking at many powers of i . i 1 = i

Evaluate the area of the region, Evaluate the area of the region. a...

Evaluate the area of the region. a. 478 units 2 b. 578 units 2 c. 528 units 2 d. 428 units 2   b. Refer to the diagram to evaluate the area of the shaded

Estimate the cost of the car, Kyra receives a 5% commission on every car sh...

Kyra receives a 5% commission on every car she sells. She received a $1,325 commission on the last car she sold. What was the cost of the car? Use the proportion part/whole =

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