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8 votes
8 votes
Solve this quadratic inequalitie with detailed full explanation

X2≤16
x square less than or equal to 16

User Maxim Vasiliev
by
3.0k points

2 Answers

11 votes
11 votes


x^2\leq16\\x\leq 4 \wedge x\geq -4\\x\in\langle-4,4\rangle

different approach:


x^2\leq16\\x^2-16\leq0\\(x-4)(x+4)\leq0

see attachment


x\in\langle-4,4\rangle

Solve this quadratic inequalitie with detailed full explanation X2≤16 x square less-example-1
User Shelita
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3.5k points
13 votes
13 votes


~~~~~~x^2 \leq 16\\\\\implies -√(16) \leq x\leq √(16)\\\\\implies -4\leq x \leq 4\\\\\text{Interval notation:}~ [-4,4]

User Gkrizek
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3.2k points