Question

Choose the correct description of the graph of the compound inequality

x - 3 < -9 or x + 5 greater than or equal to 10

A. A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right.

B. A number line with a closed circle on -6, shading to the left, and an open circle on 5, shading to the right.

C. A number line with an open circle on -6, a closed circle on 5, and shading in between.

D. A number line with a closed circle on -6, an open circle on 5, and shading in between.

Answer 1

x - 3 < -9
x < -9 + 3
x < -6

on the second part, is it supposed to be 5x >= 10 ?

Answer 2

Yes

Answer 3

x + 5 >= 10
x >= 10 - 5
x >= 5

ok....we have x is less then -6 and greater then or equal to 5
correct graph is : A

Answer 4

Thank you so much :) Can i ask you another one please?

Answer 5

ask away :)

Answer 6

Which of the following is not an equivalent form of the compound inequality

x + 18 less than or greater to 10 and x + 18 greater than or equal to 5

A. A number line with a closed circle on -13, shading to the left, and a closed circle on -8, shading to the right.

B. 10 greater than or equal to x + 18 greater than or equal to 5

C. -13 less than or greater to x less than or greater to -8

D. A number line with a closed circle on -13, a closed circle on -8, and shading in between.

and this

Choose the missing step in the given solution to the inequality -2x - 14 > -4 + 3x.

-2x - 14 > -4 + 3x
-5x - 14 > -4
-missing step-
x < -2


A. -5x < 10
B. -5x > -28
C, x < 2
D. -5x > 10

Thank you so much for the help :)

Answer 7

x + 18 <= 10 x + 18 >= 5
x <= 10 - 18 x >= 5 - 18
x <= -8 x >= - 13
so we have x less then or equal to -8 and greater then or equal to -13
-13 <= x <= -8
Not equivalent to A

-2x - 14 > -4 + 3x
-5x - 14 > -4
-5x > 10 --> missing step
x < -2

Answer 8

Thank you im sure i will have more questions later i will post as a new one

Answer 9

glad to help :)

Answer 10

wait answer A isnt equvlent or answer C?