Question

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

x + 6 < 9 or x + 6 greater than or equal to 15

x < 3 or x greater than or equal to 9

A number line with an open circle on 3, a closed circle on 9, and shading in between.

x greater than or equal to 9 or x < 3

A number line with an open circle on 3, shading to the left, and a closed circle on 9, shading to the right.

Answer 1

x + 6 < 9 x + 6 >= 15
x < 9 - 6 x >= 15 - 6
x < 3 x >= 9

the incorrect one is : A number line with an open circle on 3, a closed circle on 9, and shading in between

any questions ?

Answer 2

The reason that this statement is not equivalent is because it is saying that x is greater then 3 and less then 9 and that is not true. X is less then 3 and greater or equal to 9.

Answer 3

thank you very much

Answer 4

just remember this...
if there is an equal sign, it is a closed circle
if there is no equal sign, it is an open circle
< if less then, shade to the left
> if greater then, shade to the right