Solving inequalities
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Lesson details
Key learning points
- In this lesson, we will use the balancing method to solve inequalities. We balance the inequality by completing inverse operations to simplify the expressions.
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3 Questions
Q1.
Given that x = 6 and y = -5, which of the following statements is false? It may help to sketch a number line.
-7 < y
x ≤ 7
y ≤ -4
Q2.
Given that a = -3, which of the following statements is false? It may help to sketch a number line.
-3 ≤ a
-a = 3
a ≤ -2
Q3.
Look at the diagram. Which of these statements is true according to the diagram?
p < -q
p < r
r > -q
3 Questions
Q1.
What is the solution to the following inequality: x - 4 ≤ 10
x = 14
x ≤ 6
x ≥ 6
Q2.
What is the solution to the following inequality: 3x + 4 > 10
x = 14/3
x = 2
x > 14/3
Q3.
What is the solution to the following inequality: 4x + 4 ≥ 2x + 10
x ≥ 1
x ≥ 2
x ≥ 4