Question

Solve the inequality. (enter your answer using interval notation.) x2 < 25

Answer 1

(-5,5)

Explanation:

x² ≤ 25

Take the specified root of both sides of the inequality to eliminate the exponent on the left side.

`\sqrt{x^(2) }` <
`√(25)`

Simplify the equation.

|x| < 5

Write |x| < 5 as a piecewise.

∫ x < 5 x ≥ 0

∫-x < 5 x < 0

Find the intersection of x < 5 and x ≥ 0

0 ≤ x < 5

-5 < x < 0

Find the union of the solutions.

-5 < x < 5

Convert the inequality to interval notation.

(-5,5)

So, the answer is (-5,5)