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MATH / Suppose a<c and b<0. Which of the following must be true?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Suppose a<ca<c and b<0b<0. Which of the following must be true? ab<acab < ac a+b<c+ba+b<c+b a−b<c−ba-b < c-b c/a>1c/a > 1 Enter your answer as a list of those options that are always true. For instance, if you think only the first and third are true, enter 'A, C'.
Plain-text mathematical notation (without MathML)
Suppose a<c and b<0. Which of the following must be true?

ab<ac
a+b<c+b
a−b<c−b
c/a>1

Enter your answer as a list of those options that are always true. For instance, if you think only the first and third are true, enter 'A, C'.
Original LaTeX notation
Suppose $a<c$ and $b<0$. Which of the following must be true?

$ab < ac$
$a+b<c+b$
$a-b < c-b$
$c/a > 1$

Enter your answer as a list of those options that are always true. For instance, if you think only the first and third are true, enter 'A, C'.

level

Level 3

type

Intermediate Algebra

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Source and history

task_id
b94cd1aa-4fd0-5b33-a0d1-7defbf833d9b
task_key
intermediate~5falgebra--test--b94cd1aa-4fd0-5b33-a0d1-7defbf833d9b
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import