131.5 > −5.6𝑥

What is the justification for each step in the solution of the equation? Fill in the empty boxes with the justification.

13x − 4 = −9(4+3x) + 12 | Given |

13x – 4 = −36 − 27x + 12 | a. |

13x − 4= −24 − 27x | b. |

40x – 4 = −24 | Addition Property of Equality |

40x = −20 | c. |

x = −1/2 | Division Property of Equality |

What is the justification for each step in the solution of the equation? Fill in the empty boxes with the justification.

−5(4x + 6) < −18x + 6 + 4x | Given |

−20x − 30 < −18x + 6 + 4x | a. |

−20x – 30 < −14x + 6 | Combine like terms |

−6x – 30 < 6 | b. |

−6x < 36 | c. |

x > −6 | Division Property of Order |

Gaymer2345
Sep 22, 2017

#1**+1 **

131.5 > −5.6𝑥 divide both sides by -5.6.....reverse the inequality sign since we're dividing by a negative

-131.5 / 5.6 < x

a. distributive property

b . simplification of -36 + 12 [ not sure about the name of this property ]

c. addition property of equality

a. distributive property

b. addition property of inequality

c. addition property of inequality

CPhill
Sep 22, 2017