Question

I GIVE 15 POINTS PLEZ HELP ME PLEASE PLEASE ⦁ Let x = 4.7 and solve both inequalities below. Show your work.

A: × + 6.2 ≥10.9 B: x - 6.2 ≤ - 5


⦁ Look at your answers to question #4. Which inequality is true or false given x = 4.7. Explain your answer.

Answer 1

A: 10.9
`\geq` 10.9 -- this inequality is true

B: -1.5
`\leq` -5 -- this inequality is false

Explanation:

A: 4.7 + 6.2
`\geq` 10.9 is true

In this case, you want to read the inequality as (4.7 + 6.2) is greater than or equal to 10.9. This is similar to the inequality x is greater than or equal to y, where x = (4.7 + 6.2) and y = 10.9.

4.7 + 6.2 = x = 10.9 which is equal to 10.9, thus, this inequality is TRUE

B. 4.7 - 6.2
`\leq` -5 is false

This inequality is read as x = (4.7 - 6.2) = -1.5 is less than or equal to -5. On a number line, any negative number closer to 0 is greater than the number further from 0. So, -1.5 is closer to 0 than -5 on the number line thus making -1.5 greater than (
`\g\\` > ) -5 and not equal to -5. This equation now shows -1.5
`\leq` -5 which is false.

Answer 2

A is true and B is false.

Explanation:

x + 6.2 ≥ 10.9

Replace x for 4.7...

4.7 + 6.2 ≥ 10.9

10. ≥ 10.9 ( So this is true!)

x - 6.2 ≤ - 5

Replace x for 4.7...

4.7 - 6.2 ≤ -5

-1.2 is not ≤ -5 (So this is false!)