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Inequalities and Symbols Introduction
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Inequalities and Symbols Introduction
Read each question carefully. Use the inequality symbols <, >, ≤ and ≥ where needed.
Recognising Inequalities
1.What does the symbol > mean?
- Less than
- Greater than
- Equal to
- Less than or equal to
2.Which phrase describes the symbol ≤?
- Greater than
- Less than
- Less than or equal to
- Not equal to
3.Which situations can be represented by an inequality? Select all that apply.
- A hiking track is open to people aged 12 or older.
- The summit is exactly 1,450 metres above sea level.
- A hiker must carry more than 2 litres of water.
- The group has exactly 6 members.
4.Classify each expression as an equation or an inequality: a) p + 7 = 19; b) r < 4; c) 6k ≥ 24.
Writing Inequalities
5.On a hike, Isla is younger than 17 years old. Write an inequality for Isla’s age, a.
6.A hiking group may continue only when the temperature is at least 8°C. Write an inequality using t for the temperature.
7.Charlie needs more than $35 for the hike’s shuttle fare and entry fee. Write an inequality using c for the amount of money in dollars.
8.A pack can weigh no more than 12 kilograms. Write an inequality using w for the pack’s weight.
9.In one or two sentences, explain how an equation differs from an inequality.
Applying the Symbols
10.Mason’s map shows that a lookout is more than 900 metres from the trailhead. If d is the distance in metres, which inequality represents this?
- d < 900
- d ≤ 900
- d > 900
- d ≥ 900
11.The hiking group must finish the climb in 5 hours or less. If h is the time taken in hours, write the inequality.
12.The compound inequality 3 ≤ x < 8 describes a hiker’s distance x, in kilometres, along a trail. State the possible distances in words.
13.For 4 ≤ n < 9, which pair of statements is correct?
- n can equal 4, but cannot equal 9.
- n must be greater than 4 and can equal 9.
- n must be less than 4 or greater than 9.
- n can equal either 4 or 9.
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