Solve the inequality 2x - 10 < 6 - 2x

First, we can temporarily make this an equation rather than an inequality to make it easier to solve. We replace the “<” with an equals sign “=”. The inequality now becomes an equality: 2x - 10 = 6 - 2x. Then, we add 10 to both sides and it becomes 2x = 16 - 2x. Next, we add 2x to both sides and we are left with 4x = 16. Finally, we divide both sides by 4 to get x = 4. Don’t forget to then substitute the inequality sign back in to leave us with a final answer of x < 4.

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Answered by Charlotte W. Maths tutor

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