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

Firstly, when do you use a closed circle and when do you use an open circle?

Answer 2

this would be open!

Answer 3

Correct this would be open...because it is not "or equal to"

so we have

-2x > 10

What we want...is to solve for x...not -2x right

To do this...notice how x is being multiplied by -2...we cancel that out...but dividing both sides of the equation by -2....-2 / -2 = 1 right? right..so

-2x > 10
--------
-2 -2

***it is important to remember here....when you multiply or divide by a negative number with inequalities....you switch the direction of the sign******

this becomes

x < ?