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Solve 3x - 5 > 10 - OCR - GCSE Maths - Question 1 - 2019 - Paper 1

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Question 1

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Solve 3x - 5 > 10. Show your solution on the number line.

Worked Solution & Example Answer:Solve 3x - 5 > 10 - OCR - GCSE Maths - Question 1 - 2019 - Paper 1

Step 1

Solve 3x - 5 > 10

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Answer

To solve the inequality, start by isolating the term containing x.

  1. Add 5 to both sides: 3x−5+5>10+53x - 5 + 5 > 10 + 5 3x>153x > 15

  2. Now, divide both sides by 3: x>153x > \frac{15}{3} x>5x > 5

Step 2

Show your solution on the number line

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Answer

To represent the solution on a number line:

  1. Draw a horizontal line with numbers marked on it.
  2. Mark the point at 5 with an open circle to indicate that 5 is not included in the solution (since it is a strict inequality).
  3. Shade the area to the right of the point 5 to indicate that all values greater than 5 are included in the solution.

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