Solve 3x - 5 > 10.
Show your solution on the number line.
Worked Solution & Example Answer:Solve 3x - 5 > 10 - OCR - GCSE Maths - Question 19 - 2019 - Paper 1
Step 1
Solve 3x - 5 > 10
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Answer
To solve the inequality, start by isolating the term involving x:
Add 5 to both sides of the inequality:
3x−5+5>10+5
This simplifies to:
3x>15
Now, divide both sides by 3:
x>5
Thus, the solution to the inequality is x greater than 5.
Step 2
Show your solution on the number line
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Answer
On the number line, represent the solution x>5 by drawing an open circle at 5 (indicating that 5 is not included) and shading the region to the right of 5. This visually communicates that the solution includes all numbers greater than 5.
