Question

Choose the correct description of the graph of the inequality -x > 3.


Open circle on -3, shading to the left.

Closed circle on 3, shading to the left.

Open circle on 3, shading to the right.

Closed circle on -3, shading to the right.

Answer 1

@phi

Answer 2

@razor99

Answer 3

@Kittta

Answer 4

before you can answer, you have to get x "by itself" that means no minus sign.
you have
-x > 3

one way to do this, is add + x to both sides
-x + x > 3 + x

simplify the left side: -x + x = 0, so you have
0 > 3 + x

next, add -3 to both sides
-3 > x
or
x < -3 (the pointy end of the > or < points at the smaller number)

this says x is less than -3. Open circle , line going to the left

Answer 5

the other way people solve this
-x > 3
is use the rule "when you multiply or divide by -1, FLIP the relation operator"
so we multiply both sides by -1:
-1* -x -1*3
x -3
and then change the > to <
x < -3