\sqrt{2x^(2) -1} \geq 1-x

Question

`\sqrt{2x^(2) -1} \geq 1-x`

Answer 1

`x\geq 2`

Explanation:

by squaring both sides:

`2x^2 - 1 \geq x^2 + 2x - 1`

canceling out 1

`2x^2 \geq x^2 + 2x`

subtract x^2 on both sides

`x^2\geq 2x`

divide by x on both sides

`x\geq 2`