AQA · Mathematics · 8300
GCSE Maths: Inequalities: graphical y>a or x>a
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Inequalities: graphical y>a or x>a (Corbettmaths Video 180), 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.
9 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 graphing the inequality y ≥ a, which side of the horizontal line y = a is shaded?
Show answer
Above the line (the region where y-values are greater than or equal to a).
When graphing the inequality x ≥ a, which side of the vertical line x = a is shaded?
Show answer
To the right of the line (the region where x-values are greater than or equal to a).
When graphing the inequality y < a, is the boundary line y = a solid or dashed?
Show answer
Dashed, because points on the line y = a are not included in the solution (strict inequality).
When graphing the inequality y ≤ a, is the boundary line y = a solid or dashed?
Show answer
Solid, because points on the line y = a are included in the solution (non-strict inequality).
What does the region satisfying multiple inequalities simultaneously represent?
Show answer
The intersection of all individual regions—the area where all inequalities are true at once.
How do you check if a point satisfies an inequality?
Show answer
Substitute the point's coordinates into the inequality and verify whether the resulting statement is true.
In a real-world inequality problem with constraints like 'less than 80 bananas' and 'less than 90 apples,' what do the variables x and y typically represent?
Show answer
The quantities being constrained (e.g., x = number of bananas, y = number of apples).
The inequality y < x is graphed with a ? line through y = x, shading below the line.
Show answer
dashed
For the inequality y ≥ 2x, which side of the line y = 2x is shaded?
Show answer
Above the line (the region where y-values are greater than or equal to 2x).
Want to create your own cards? Create a free account. AI generation uses credits.