AQA · Mathematics · 8300
GCSE Maths: Inequalities: graphical y>x+a
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Inequalities: graphical y>x+a (Corbettmaths Video 181), 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.
8 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.
For the inequality y > x + a, should the boundary line y = x + a be solid or dashed?
Show answer
Dashed. The inequality uses > (greater than), not ≥ (greater than or equal to), so points on the line itself are not included.
For the inequality y ≥ 2x - 5, which side of the boundary line should be shaded?
Show answer
Above the line. Since y is greater than or equal to 2x - 5, the region where y-values are larger (above the line) is shaded.
How do you convert the inequality x + y < 4 into the form y < mx + c before graphing?
Show answer
Rearrange to isolate y: y < 4 - x or y < -x + 4. This shows the boundary line is y = -x + 4 and the region is below it.
When graphing multiple inequalities on the same grid, what does the solution region represent?
Show answer
The area that satisfies all the inequalities simultaneously—the intersection or overlap of all individual regions.
What inequality symbol corresponds to a horizontal line with shading above it?
Show answer
y > c or y ≥ c (where c is a constant). Above the line means y-values are greater.
What inequality symbol corresponds to a vertical line x = a with shading to the left?
Show answer
x < a or x ≤ a. To the left means x-values are smaller than a.
In a real-world optimization problem with inequalities, how do you find the maximum profit at vertices of the feasible region?
Show answer
Evaluate the profit function at each corner point (vertex) of the feasible region; the maximum value occurs at one of these vertices.
Why would the inequality representing 'no more than 1000 total tickets sold' be written as x + y ≤ 1000?
Show answer
The sum x + y represents the total tickets. 'No more than 1000' means the total must be less than or equal to 1000.
Want to create your own cards? Create a free account. AI generation uses credits.