What is the solution set to the inequality 5(x - 2)(x + 4) > 0?
1 answer:
Answer:
You selected the correct answer: {x | x <<em> </em>-4 or x > 2}
Step-by-step explanation:
5(x - 2)(x + 4) > 0
Use FOIL method to expand (x - 2)(x + 4):
> 0
Distribute 5 into
> 0
Divide all terms by 5 from both sides of the inequality:
Factor the trinomial:
(x + 4) ( x - 2) > 0
x < -4 or x > -2
Therefore, the solution set to the inequality is {x | x < -4 or x > 2}
<em>Interval notation: </em>(-∞, -4) ∪ (2, ∞)
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Answer:
<em>Option C</em>
Step-by-step explanation:
Consider each of these graphs. Let us formulate an inequality for each of them, and match the one with an inequality of ;
Graph 3 is the only one that matches with the inequality provided to us.
* Note that shaded circles are represented by a greater / less than or equal to, and non - shaded circles are represented by a greater / less than sign.
<em>Solution ⇒ Graph 3</em>