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Solve 7x - 27 < 8 - Edexcel - GCSE Maths - Question 2 - 2022 - Paper 1

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Solve 7x - 27 < 8

Worked Solution & Example Answer:Solve 7x - 27 < 8 - Edexcel - GCSE Maths - Question 2 - 2022 - Paper 1

Step 1

Step 1: Add 27 to both sides of the inequality

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Answer

To isolate the term with x, we start by adding 27 to both sides of the inequality:

7x27+27<8+277x - 27 + 27 < 8 + 27
This simplifies to:

7x<357x < 35

Step 2

Step 2: Divide both sides by 7

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Answer

Next, we divide both sides of the inequality by 7 to solve for x:

7x7<357\frac{7x}{7} < \frac{35}{7}
This simplifies to:

x<5x < 5

Step 3

Step 3: State the critical value

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Answer

The critical value for x can be summarized as:

x<5x < 5

Thus, x can take any value less than 5.

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