Solve and Graph the Inequality $$12 < - 5 x + 2 \leq 32$$

question 423

Multiple Choice

Solve and graph the inequality. Give answer in interval notation.
- $$12 < - 5 x + 2 \leq 32$$

• A) \(( 2,6 ]\)
• B) \(( - 6 , - 2 ]\)
• C) \([ 2,6 )\)
• D) \([ - 6 , - 2 )\)

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Definitions:

Truth-functional Compound

A complex proposition in logic that is made up of simpler propositions and whose truth-value depends solely on the truth-values of these simpler propositions.

Quantifier

In logic, symbols that specify how many objects in the universe of discourse satisfy a given condition.

Atomic Open Sentence

An expression containing a variable that becomes either true or false when a value is substituted for the variable.

Compound

A substance formed from two or more elements chemically united in fixed proportions, or a complex entity composed of several parts.