Question

Which of the following is the correct graph of the solution to the inequality −13 > −5x + 2 > −28?

Answer 1

The correct graph is A.

Explanation:

Consider the provided inequality:

-13 > -5x + 2 > -28

Subtract 2 from the above inequality.

-13 -2 > -5x + 2 - 2 > -28 - 2

-15 > -5x > -30

Now divide by 5.

-3 > -x > -6

Now multiply by -1 which will change the inequality sign.

Whenever we divide or multiply an inequality with a negative number, we will change the inequality sign.

3 < x < 6

Whenever the sign of the inequality are < or > use the open dot. Which indicated that the end points are not in the interval or solution set.

So, we will select all the value of x which are greater than 3 but less than 6.

Thus, the correct graph is A.

Answer 2

"The first graph" is the one among the following choices given in the question that is the correct graph of the solution to the inequality −13 > −5x + 2 > −28. This is the graph that correctly represents the situation. I hope that this is the answer that you were looking for and the answer has actually come to your desired help.