Solve (x-2)2<\sqrt 3(x-2)

Evaluate

(x - 2) \times 2 < 3 \times (x - 2)

Multiply the terms

2 (x - 2) < 3 \times (x - 2)

Calculate

More Steps

2 x - 4 = 3 \times (x - 2)

Calculate

More Steps

2 x - 4 = 3 \times x - 23

Move the expression to the left side

2 x - 4 - (3 \times x - 23) < 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

2 x - 4 - 3 \times x + 23 < 0

Collect like terms by calculating the sum or difference of their coefficients

(2 - 3) x - 4 + 23 < 0

Move the constant to the right side

(2 - 3) x < 0 + 4 - 23

Removing 0 doesn't change the value,so remove it from the expression

(2 - 3) x < 4 - 23

Divide both sides

\frac{( 2 - 3 ) x}{2 - 3} < \frac{4 - 2 3}{2 - 3}

Divide the numbers

x < \frac{4 - 2 3}{2 - 3}

Solution

More Steps

x < 2

Alternative Form

x \in (- \infty, 2)

Solve the inequality