Solve the inequality x^2-6<2

{x^2-6}<{2}

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Answer

$x<\sqrt{8}$

Step by step solution

Problem

${x^2-6}<{2}$
1

Moving the term $-6$ to the other side of the inequation with opposite sign

$x^2<6+2$
2

Add the values $2$ and $6$

$x^2<8$
3

Removing the variable's exponent

$\sqrt{x^2}<\sqrt{8}$
4

Applying the power of a power property

$x<\sqrt{8}$

Answer

$x<\sqrt{8}$

Problem Analysis

Main topic:

Inequalities

Time to solve it:

0.22 seconds

Views:

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