sjaybanks4067
27.08.2019 •
Mathematics
Which of the following is the correct graph of the solution to the inequality −18 > −5x + 2 ≥ −48?
(a) number line with a closed circle on 4 with shading to the left and an open circle on 10 with shading to the right
(b) number line with an open circle on 4 with shading to the left and a closed circle on 10 with shading to the right
(c) number line with a closed circle on 4 with shading to the right and an open circle on 10 with shading to the left
(d)number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left
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Ответ:
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
Divide the compound inequality into two inequalities
-----> inequality A
Multiply by -1 both sides
Divide by 5 both sides
The solution of inequality A is the interval ----> (-∞,10]
All real numbers less than or equal to 10
-----> inequality B
Multiply by -1 both sides
Divide by 5 both sides
Rewrite
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
Ответ:
will you give bl if i answer
Step-by-step explanation: