Objective 3 - Solve Compound Linear Inequalities

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Solve linear inequalities.

Link to section in online textbook.

First, watch the video below to learn how to solve compound inequalities. You can use the notes here to follow along with the video and record your thoughts.

$\sage {displayLeftFactor1A} < \sage {displayRightFactor1A}$ or $\sage {displayLeftFactor1B} > \sage {displayRightFactor1B}$

$\answer [format=string]{(} \answer {\sage {-Infinity}}, \answer [tolerance=0.05]{\sage {solution1A[0][1]}} \answer [format=string]{)}$
$\cup$
$\answer [format=string]{(} \answer [tolerance=0.05]{\sage {solution1B[0][0]}}, \answer {\sage {Infinity}} \answer [format=string]{)}$

There are four boxes so you can input the entire interval. Each interval should be:
( or [
number or $\infty$
number or $\infty$
) or ]

$\sage {displayLeftFactor2A} \leq \sage {displayRightFactor2A}$ or $\sage {displayLeftFactor2B} \geq \sage {displayRightFactor2B}$

$\answer [format=string]{(} \answer {\sage {-Infinity}}, \answer [tolerance=0.05]{\sage {solution2A[0][1]}} \answer [format=string]{]}$
$\cup$
$\answer [format=string]{[} \answer [tolerance=0.05]{\sage {solution2B[0][0]}}, \answer {\sage {Infinity}} \answer [format=string]{)}$

There are four boxes so you can input the entire interval. Each option should be:
( or [
number or $\infty$
number or $\infty$
) or ]

$\sage {andInequalityLeft3} < \sage {andInequalityMiddle3} < \sage {andInequalityRight3}$

$\answer [format=string]{(} \answer [tolerance=0.05]{\sage {smallerEndpoint3}}, \answer [tolerance=0.05]{\sage {largerEndpoint3}} \answer [format=string]{)}$

There are four boxes so you can input the entire interval. Each option should be:
( or [
number or $\infty$
number or $\infty$
) or ]

$\sage {andInequalityLeft4} \leq \sage {andInequalityMiddle4} \leq \sage {andInequalityRight4}$

$\answer [format=string]{[} \answer [tolerance=0.05]{\sage {smallerEndpoint4}}, \answer [tolerance=0.05]{\sage {largerEndpoint4}} \answer [format=string]{]}$

There are four boxes so you can input the entire interval. Each option should be:
( or [
number or $\infty$
number or $\infty$
) or ]