Question

Can someone explain how to do
$10 \leqslant 2y + 4 \leqslant 24$
And the basics of solving the formula​

Answer 1

The solution is:

$3\leq y\leq 10$

Or

y ≥ 3 and y≤10

Further explanation:

The given inequality is compound inequality which is solved in two parts.

Given inequality is:

$10 \leq 2y+4\leq 24$

The two inequalities which will be formed are:

$2y+4\geq 10\\2y+4\leq 24$

Solving one by one

$2y+4\geq 10\\2y+4-4\geq 10-4\\2y\geq 6\\\frac{2y}{2} \geq \frac{6}{2} \\ y \geq 3\\2y+4\leq 24\\2y+4-4\leq 24-4\\2y\leq 20\\\frac{2y}{2}\leq \frac{20}{2} \\y\leq 10$

The solution is:

$3\leq y\leq 10$

Or

y ≥ 3 and y≤10

Keywords: Inequalities, Compound inequalities

Learn more about inequalities at:

• brainly.com/question/6703816
• brainly.com/question/10402163

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