Question

Solve the inequality. Express the solution sets as intervals or unions of intervals and show them on the real line. Use the result (square-root of a^2) = |a| as appropriate.

(x+3)^2 < 2

Answer 1

take the square root of both sides

±(x+3) < √2
x+3 < √2 AND -x-3 < √2
x < √2 - 3 AND x > -3 - √2

( -4.414 < x < -1.586)