Question

Which statements are true about the solution of 15>(With line underneath it) 22 + x ? Check all that apply.

The graph has a closed circle.
The graph has an open circle.
The arrow points left.
The arrow points right.
–7 is part of the solution.
–6 is part of the solution.

Answer 1

b,c,e

Explanation:

Answer 2

The graph has a closed circle, the arrow points left and -7 is part of the solution.

Explanation:

Consider the provided inequality:

`15\geq 22+x`

Add -x to both sides of the inequality.

`15-x\geq 22+x-x`

`15-x\geq 22`

Now add -15 to both the sides of the inequality.

`-15+15-x\geq 22-15`

`-x\geq 7`

Therefore,

`x\leq -7`

This means x can be any real number which is less then or equal to -7. Thus, the arrow points to the left.

Use an closed circle for the sign
`\leq or\geq`

Therefore the correct answer is:

The graph has a closed circle, the arrow points left and -7 is part of the solution.