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

Answer:

$x \leq -7$

The graph has a closed circle.

–7 is part of the solution.

Step-by-step 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