Linear equations and inequalities flashcards

Question 1

What is a linear equation in one variable?

Accepted Answer

An equation that can be written as $ax+b=c$ (or $ax+b=0$) where $a,b,c$ are constants and $a
eq 0$.

Question 2

How can you tell the difference between no solution and infinitely many solutions in a linear equation?

Accepted Answer

After simplifying: if you get a false statement like $0=5$, there is no solution; if you get a true statement like $0=0$, there are infinitely many solutions.

Question 3

Solve the compound inequality $-2<3x+1\le 7$.

Accepted Answer

$$-1<x\le 2$$

Linear equations and inequalities flashcards

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