Question

L 4.4.5 Quiz: Solving Linear Inequalities

ХА

Question 3 of 5

Which number line shows the solution of -5x + 10 > -15?

A.

4

-10-9-8-7

-6

5 4

-3

0

2 3 4

B.

-6

-10-9-8-7

-5

-4

- 2

-

0

1

2 3

4

5

6 7 8 9 10

O c.

-10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2

34

56

7 8 9 10

Answer 1

The correct number line representing the solution of -5x + 10 > -15 is A.

Step-by-step explanation:

To solve the inequality -5x + 10 > -15, begin by isolating the variable x. Subtract 10 from both sides to get -5x > -25. Then, divide both sides by -5, but remember that dividing by a negative number reverses the inequality direction, giving x < 5. The solution x < 5 represents all values less than 5 but not including 5. Option A correctly depicts this solution, indicating all values less than 5 with an open circle at 5 on the number line to signify that 5 itself is not included in the solution.

In contrast, options B and C display different ranges that don't accurately represent the solution to the inequality. They either include values that are greater than 5 or omit portions of the correct solution set. Therefore, option A best illustrates the solution x < 5 for the given inequality.