Step-by-step Solution

Solve the inequality $4\left(x-1\right)^2\geq \left(2x-3\right)^2-7$

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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.

$4\left(x-1\right)^2-\left(2x-3\right)^2\geq -7$

Unlock this full step-by-step solution!

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. Solve the product 4\left(x^2-2x+1\right).

Final Answer

$x\geq -\frac{1}{2}$

Problem Analysis

$4\left(x-1\right)^2\geq \left(2x-3\right)^2-7$

Main topic:

Inequalities

Time to solve it:

~ 0.05 seconds