Inequalities — Drills
Inequalities has 4 drill skills. Each one generates fresh questions every time, with a hint and full worked steps, so you can keep practising a single skill until it settles.
What these drills cover
These questions use 1 idea from the course. Follow any of them for a definition, where it is taught, and what it leads to.
- Open — Open excludes the endpoint (<, >); closed includes it (≤, ≥).
Solving
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Solve x - 11 < 4. Give the answer in the form x<number.
Worked answer
x<15
x < 15
Problem 2
Solve 5x ≥ 60. Give the answer in the form x>=number.
Worked answer
x>=12
x ≥ 12
Counting
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
How many whole numbers satisfy -2 < n < 5?
Worked answer
6
From -1 to 4 is 6 numbers
Problem 2
How many whole numbers satisfy 0 ≤ n ≤ 6?
Worked answer
7
From 0 to 6 inclusive is 7 numbers
Real
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Tickets cost $9 and you have $60. How many can you buy?
Worked answer
6
n ≤ 6.67
Tickets are whole, so 6
Problem 2
Tickets cost $3 and you have $50. How many can you buy?
Worked answer
16
n ≤ 16.67
Tickets are whole, so 16
Writing the expression
Unlimited questions of this kind are generated in the app. Two examples:
Problem 1
Write "fewer than 24" as an inequality in x, using < for the symbol.
Worked answer
x<24
x < 24
Problem 2
Write "fewer than 32" as an inequality in x, using < for the symbol.
Worked answer
x<32
x < 32