Step-by-step explanation
Problem to solve:
$4\left(x-1\right)^2\geq \left(2x-3\right)^2-7$
Learn how to solve inequalities problems step by step online.
$4\left(x-1\right)^2-\left(2x-3\right)^2\geq -7$
Learn how to solve inequalities problems step by step online. Solve the inequality 4(x-1)^2>=(2x-3)^2-7. Grouping terms. Expand \left(x-1\right)^2. Expand \left(2x-3\right)^2. Cancel like terms 4x^2 and -4x^2.
Final Answer
$x\geq -\frac{1}{2}$