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

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

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180

f(x)=4

step-by-step explanation: