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Find all real numbers x such that x^2 < 4. Give your answer in interval notation.

Sagot :

Inequalities help us to compare two unequal expressions. For all real numbers x such that x²<4, the interval which will satisfy the given inequality is (-2,2).

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given the inequality x²<4, whose solution can be calculated as shown below.

x² < 4

x² - 4 < 0

x² - 2² < 0

(x+2)(x-2)<0

x = (-2, 2)

Hence, for all real numbers x such that x²<4, the interval which will satisfy the given inequality is (-2,2).

Learn more about Inequality here:

https://brainly.com/question/19491153

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