Question

Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options. x greater-than-or-equal-to negative 7 x less-than-or-equal-to negative 7 The graph has a closed circle. –6 is part of the solution. –7 is part of the solution.

Answer 1

B) x less-than-or-equal-to negative 7

C) The graph has a closed circle.

E) –7 is part of the solution.

Explanation:

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Answer 2

`x \leq -7`

The graph has a closed circle.

–7 is part of the solution.

Explanation:

Given

`15 \geq 22 + x`

Required

Select 3 options from the given list of options

`15 \geq 22 + x`

Subtract 22 from both sides

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

`-7 \geq x`

Swap positions of the expression; Note that the inequality sign will change

`x \leq -7`

This means x less-than-or-equal-to negative 7

There are two options left to select;

The inequality sign in
`x \leq -7` implies that the graph has a close circle.

Inequality signs such as
`\leq` and
`\geq` signifies a close circle

There is only one option left to select;

Lastly;

Split the expression
`x \leq -7` into two

We have:

`x < -7` or
`x = -7`

Because
`x = 7`,

Then, -7 is also a part of the solution