ex. a
What is the answer to the inequality? How is it expressed in interval notation?
\(5x > 10\)
\(x > \dfrac{10}{5}\)
\(x > 2\)
\((2 , \infty)\)
For ex. a, the interval notion above shows a left parentheses, not a bracket, because 2 is not part of the interval which stretches right from 2 and into infinity.
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Interval for ex. a is represented by arrow going right from 2 with a clear circle on 2 meaning that 2 is not on the interval
ex. b.
What is the answer to the inequality? How is it expressed in interval notation?
\(-4x < 2\)Dividing or multiplying both sides by negative numbers switches the inequality sign.
\(x > -\dfrac{2}{4} \)
\(x > -\dfrac{1}{2}\)
\(-\dfrac{1}{2} = -0.50\)
\((-0.50, \infty)\)
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Interval for ex. b is shown as arrow going right from -0.50 to infinity with a clear circle on -0.50, showing that -0.50 is not on the interval.
