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dedylja [7]
3 years ago
6

Which of the following is the correct graph of the solution to the inequality −18 > −5x + 2 ≥ −48?

Mathematics
2 answers:
monitta3 years ago
8 0

Answer:

Option D. A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left

Step-by-step explanation:

we have

-18 > -5x+2 \geq -48

Divide the compound inequality into two inequalities

-5x+2 \geq -48 -----> inequality A

-5x \geq -48-2

-5x \geq -50

Multiply by -1 both sides

5x \leq 50

Divide by 5 both sides

x \leq 10

The solution of inequality A is the interval ----> (-∞,10]

All real numbers less than or equal to 10

-18 > -5x+2 -----> inequality B

-18-2 > -5x

-20 > -5x

Multiply by -1 both sides

20 < 5x

Divide by 5 both sides

4 < x

Rewrite

x > 4

The solution of the inequality B is the interval ----> (4,∞)

All real numbers greater than 4

The solution of the compound inequality is

(-∞,10] ∩ (4,∞)= (4,10]

All real numbers greater than 4 and less than or equal to 10

A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left

earnstyle [38]3 years ago
8 0

Answer:

D

Step-by-step explanation:

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