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Solve the inequality - OCR - GCSE Maths - Question 15 - 2021 - Paper 1

Question 15

Solve the inequality. 2(x + 5) < 16

Worked Solution & Example Answer:Solve the inequality - OCR - GCSE Maths - Question 15 - 2021 - Paper 1

Step 1

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Answer

We start by expanding the left side of the inequality:

$2(x + 5) = 2x + 10$

This gives us:

$2x + 10 < 16$

Step 2

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Answer

Next, we want to isolate the term containing the variable. To do this, subtract 10 from both sides:

$2x + 10 - 10 < 16 - 10$

This simplifies to:

$2x < 6$

Step 3

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Answer

Finally, we divide both sides by 2 to solve for x:

$x < rac{6}{2}$

Thus:

$x < 3$

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