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(a) Show the inequality $x > 3$ on this number line - OCR - GCSE Maths - Question 7 - 2018 - Paper 1
Question 7
7
(a) Show the inequality $x > 3$ on this number line.
(b) Simplify,
$4a + 3c + 7a - 5c$.
(c) Solve.
Worked Solution & Example Answer:7
(a) Show the inequality $x > 3$ on this number line - OCR - GCSE Maths - Question 7 - 2018 - Paper 1
Step 1
Show the inequality $x > 3$ on this number line.
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Answer
To represent the inequality x>3 on the number line:
Draw a number line from 0 to 8.
Locate the number 3 on the line.
Place a hollow circle at 3 to indicate that 3 is not included in the solution.
Draw an arrow pointing to the right from 3 to show that the solution includes all numbers greater than 3.
Step 2
Simplify
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Answer
To simplify the expression 4a+3c+7a−5c:
Combine like terms for a:
4a+7a=11a
Combine like terms for c:
3c−5c=−2c
The simplified expression is:
11a−2c
Step 3
Solve
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Answer
To solve for the variable, we would typically require an equation. Assuming we want to find the value of a variable, we can set a simple equation such as:
2x+12=0
Rearranging gives:
2x=−12
Divide both sides by 2:
x=−6
If solving for an alternative scenario, please provide the specific equation.
