Question

Match each compound inequality on the left to the graph that represents its solution on the right.​

Answer 1

Answer: First answer goes with second graph

Second answer goes with third graph

Third answer goes with first graph :)

Step-by-step explanation:

Answer 2

The equation 1 matches option (B), equation 2 matches option (C),  equation 3 matches option (A).

What is Graphs of inequalities?

"An inequality can be represented graphically as a region on one side of a line. Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region".

For the above situation,

The inequalities are given as

1. $4x+3 > 15$ or $-6x > =12$

2. $-8x > -24$ and $-10 < =2x-6$

3.$-29 < =9x-2 < 16$

By finding the solution for these equations will give the points that to be plotted on the graph.

Equation 1:

$4x+3 > 15$

⇒$x > 3$

$-6x > =12$

⇒$x > =-2$

So the points are (3,-2).

Equation 2:

$-8x > -24$

⇒$x > 3$

$-10 < =2x-6$

⇒$x > =-2$

So the points are (3,-2).

Equation 3:

$-29 < =9x-2$

⇒$x > =-3$

$9x-2 < 16$

⇒$x < 2$

So the points are (-3,2).

Hence we can conclude that the equation 1 matches option (B), equation 2 matches option (C),  equation 3 matches option (A).

Learn more about graphs of inequalities here

https://brainly.com/question/25315097

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