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AQA GCSE · Question 10.2 · Algebra
Solve 5y + 14 ≥ 11
Solve 5y + 14 ≥ 11
How to approach this question
Treat the inequality sign (≥) just like an equals sign (=).
1. Your goal is to get `y` by itself.
2. First, move the constant term (+14) to the other side by subtracting 14 from both sides.
3. Then, divide both sides by the coefficient of `y` (which is 5).
The inequality sign only flips if you multiply or divide by a negative number, which is not the case here.
Full Answer
This is a linear inequality. We can solve it using the same methods as for a linear equation.
The inequality is: 5y + 14 ≥ 11
1. Subtract 14 from both sides to isolate the term with `y`:
5y + 14 - 14 ≥ 11 - 14
5y ≥ -3
2. Divide both sides by 5 to solve for `y`. Since we are dividing by a positive number (5), the inequality sign does not change direction.
y ≥ -3/5
The solution can also be written as y ≥ -0.6.
Common mistakes
✗ Making a sign error when calculating 11 - 14.
✗ Changing the inequality sign to an equals sign in the final answer.
✗ Incorrectly flipping the inequality sign. The sign only flips when you multiply or divide the entire inequality by a negative number.
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