# ACT Math 1.2 Coordinate Geometry

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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 Chinese Subtitled Korean Subtitled Spanish Subtitled |

Language | English Language |

Product Type | ACT Math |

Systems of Equations | Linear and Nonlinear Inequalities |

### Transcript

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.