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Alina [70]
4 years ago
7

Can someone explain how to do

Mathematics
1 answer:
Alinara [238K]4 years ago
8 0

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

#LearnwithBrainly

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