3 16
Explanation
Factor the numerator and denominator and cancel the common factors.
First, apply the distributive property to the left side of the inequality. Multiply each of the two numbers inside the parentheses by 6 and then add those products. Next, subtract -24 from both sides. Then, to get \begin{align*}x\end{align*} by itself on one side of the inequality, you need to divide both sides by 6.
The complete table of truth value for the composite proposition:
p q ¬ q p ∨ ¬ q (p ∨ ¬ q) ⇒ q
T T F T T
T F T T F
F T F T T
F F T T F
<h3>How to fill a truth table with composite propositions</h3>
In mathematics, propositions are structures that contains a truth value. There are two truth values in classic logics: True, False. Composite propositions are the result combining simpler propositions and operators. There are the following logic operators and rules:
- Negation changes the truth value of the proposition into its opposite.
- Disjunction brings out "true" value when at least one of the two propositions is so.
- Conjunction brings out "true" value when the two propositions are so.
- Conditional form brings out "true" value when both propositions are true or only the consequent is true or both propositions are false.
Now we present the complete table of truth value for the composite proposition:
p q ¬ q p ∨ ¬ q (p ∨ ¬ q) ⇒ q
T T F T T
T F T T F
F T F T T
F F T T F
To learn more on truth values: brainly.com/question/6869690
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Answer:
uhh u look 8
Step-by-step explanation:
