ACT Math 1.2 Coordinate Geometry
ACT Math: Coordinate Geometry Drill 1, Problem 2. Solve the inequality and determine which solution is shown on the number line.
|ACT Math||Coordinate Geometry|
|ACT Mathematics||Coordinate Geometry|
|Coordinate Geometry||Graphing inequalities|
Real number lines and inequalities
|Foreign Language||Arabic Subtitled|
|Product Type||ACT Math|
|Systems of Equations||Linear and Nonlinear Inequalities|
right next to a parentheses think distributive property.
We can think of the -2 as a negative 2
so distributing we get negative two times Y
or -2y plus -2 times 2
or -4 so simplified we have y - 2y - 4 is less than six
we can combine like terms: y - 2y gives us negative y
add 4 to both sides and we get negative y is less than 10.
Now all we have to do is divide by both sides by -1
Remember that whenever we divide or multiply by negative one with
inequalities we have to flip the inequality
So we're left with y is greater than -10
The inequality is a greater than not a greater than
or equal to, so that clues us and that we need an
open dot which immediately eliminates A and B
We also know that are open dot has to be on -10
so we can eliminate D and E which leaves us with just C
and just make sure the arrow is pointing the right way we know that y has to be
greater than -10
The arrow points in the positive direction which is greater than -10
Looks like C is our answer.