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).
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