Question

Choose the correct description of the graph of the inequality -2x < 10.

Open circle on -5, shading to the left.

Closed circle on -5, shading to the left.

Open circle on -5, shading to the right.

Closed circle on -5, shading to the right.

Answer 1

open circle means included, closed means excluded.

if x>5
is it possible for x to be 5 ?

Answer 2

I don't fully understand

Answer 3

x> 5, the variable can't be 3 - that is not greater than 5

Answer 4

but can it be 5 exactly ?

Answer 5

no

Answer 6

right!

so, it is not included - and at the spot 5, there would be an open circle

we have
-2x < 10.

you can divide both sides by -2 to get an equation with x

Answer 7

1x<-5 ?

Answer 8

the numbers are correct, but if you divide/multiply with a negative in an inequality - you have to change the direction of the sign

Answer 9

1x>-5

Answer 10

yep

Answer 11

so its C

Answer 12

exactly !

Answer 13

Thank you!

Answer 14

you're welcome ;)