Question

Can someone help me with this one question pls i will give 50 points

Answer 1

Inequality notation: [7, ∞)

Number Line:

7 (closed dot), point towards positive infinity.

Explanation:

-27 > -4x - 7 and -35 ≥ -4x - 7

+7 +7 +7 +7

------------------ ------------------

-20 > -4x -28 ≥ -4x

÷-4 ÷-4 ÷-4 ÷-4

--------------- ---------------

5 < x 7 ≤ x or x ≥ 7

Inequality notation includes the numbers that are included or the"≥" symbol.

Number line:

--------->

<------------------------------|------------>

7

I hope this helps!

Answer 2

`x \geq 7`

Explanation:

First inequality

`-27 > -4x - 7\\\to 4x > 20\\\to x > 5`

Second inequality

`-35 \geq -4x - 7\\\to 4x \geq 28\\\to x \geq 7`

We are given that x is greater than 5 and greater or equal to 7.
We can summarize this down to
`x \geq 7`