AQA · Mathematics · 8300
GCSE Maths: Inequalities: solving (two signs)
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Inequalities: solving (two signs) (Corbettmaths Video 179), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
11 flashcards · Free to study · No account needed
Study this deck
Preparing your cards…
All questions and answers
Read through the full deck, or practise recalling each answer above.
When solving an inequality, what happens to the inequality sign if you divide or multiply both sides by a negative number?
Show answer
The inequality sign reverses direction (< becomes >, ≤ becomes ≥, and vice versa).
What does a closed circle (●) on a number line represent when showing an inequality?
Show answer
The endpoint is included in the solution (≤ or ≥).
What does an open circle (○) on a number line represent when showing an inequality?
Show answer
The endpoint is not included in the solution (< or >).
The inequality x ≥ 5 is read as "x is ? 5".
Show answer
greater than or equal to
The inequality x ≤ 3 is read as "x is ? 3".
Show answer
less than or equal to
How do you solve an inequality like 3x + 4 < 13?
Show answer
Use the same algebraic steps as solving an equation: subtract 4 from both sides, then divide by 3. The inequality sign stays the same (x < 3).
When asked to find the largest integer that satisfies an inequality like x < 7.5, what is the answer?
Show answer
7 (the largest whole number less than 7.5).
When solving an inequality with brackets like 2(3x − 5) ≥ 43, what is the first step?
Show answer
Expand the brackets to get 6x − 10 ≥ 43, then solve using normal algebraic steps.
What does the notation −2 < n ≤ 3 mean for an integer n?
Show answer
n is greater than −2 and less than or equal to 3; possible integer values are −1, 0, 1, 2, 3.
Lee is y years old and Toby is 8 years younger. If their ages sum to less than 41, what inequality represents this?
Show answer
y + (y − 8) < 41, which simplifies to 2y − 8 < 41
Annie spends m pounds, Beth spends twice as much as Annie, and Carly spends 5 pounds more than Annie. If their total is more than £60, what inequality represents this?
Show answer
m + 2m + (m + 5) > 60, which simplifies to 4m + 5 > 60
Want to create your own cards? Create a free account. AI generation uses credits.