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Write the inequality using interval notation and illustrate the inequality using the real number line.

Write the inequality using interval notation and illustrate the inequality using the-example-1
User Surajs
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Using interval notal to represent inequalities, the following are put into consideration:

1. With inequalities, we use "less than": < or "greater than": > to exclude the endpoint of the interval. With interval notation, we use round parentheses, ( or ).

2. With inequalities, we use "less than or equal to": ≤ or "greater than or equal to": ≥ to include the endpoint of the interval. With interval notation, we use square brackets, [ or ].

3. To combine two intervals, use U (an uppercase letter u) for union: ∪; Use oo (two lowercase letter o's) for infinity: ∞

Given the inequality below


5\leq x>7

It can be observed that 5 is less than or equal to x, which means 5 is inclusive, we would then use a square bracket, [ , for 5.

It can also be observed that x is greater than 7, which means 7 is exclusive, we would then use round parenthesis, ).

Hence, the interval notation is [5,7), OPTION C

The representation of the inequality using number line is as shown below:

Hence, the correct number line from the options is OPTION B

Write the inequality using interval notation and illustrate the inequality using the-example-1
User Yonatan
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