Mathematics for IGCSE & O level - Inequalities (Section 2)
1
When representing the solution graphically on a number line, what is implied by the use of an open circle?
Responder(B)
The solution excludes that number
2
What are the key steps to represent regions satisfying more than one inequality?
3
Which of the following inequalities does the shaded region represent?
4
Which of the following is correct?
5
Which of the following points, when substituted into the inequality, would determine the direction of the inequality?
6
Given the inequalities x + y < 4, x >= -1, and y >= 0, what is the shape of the region defined by these inequalities?
7
What is the integer value of x that satisfies -2 ≤ x < 3?
8
Which inequality matches the graph showing y ≥ 2x - 1?
Responder(A)
A solid line sloping upwards with shading above.
9
The solution to the inequality 3x + 2 < 8 is represented by which of the following?
10
If you multiply or divide an inequality by a negative number, you must:
Responder(A)
Reverse the inequality sign.
11
What is the solution set for the inequality 2x - 3 > 5?
12
Which of the following inequalities does the shaded region represent?
13
Which of these inequalities is represented by a graph with an open circle at -1 and shading to the right?
14
Which compound inequality is represented by the graph showing the values of x between -1 and 4, including -1 but not 4?
15
The inequality that describes the region on a graph bounded by the line y = 2x - 3 is:
16
Which of the following best describes the graph of y < x?
Responder(A)
A dashed line, with shading below.
17
When graphing an inequality, what does a dashed line indicate?
Responder(B)
The inequality does not include the 'equal to' condition.
18
What is the range of values for x that satisfies both x > 2 and x < 5?
19
Which inequality describes the shaded region?
20
Which inequalities define the shaded region in the given diagram?
21
What is the inequality that defines the shaded region in the first diagram?
22
In an inequality graph, what does a solid line represent?
Responder(A)
The solution includes the equal to condition
23
Solve the inequality: -2x + 1 ≤ 5.
24
Which phrase represents the inequality x - 5 < 10?
Responder(A)
A number minus 5 is less than 10.
25
Which are the inequalities that define the shaded region in the graph?
26
Which of the following inequalities is correctly represented by the graph?
27
When plotting the line 3x + 4y = 12, choosing x=0 and then y=0 give the points?
28
Which inequality represents the phrase: "A number is greater than or equal to -2"?
29
Which of the following is the correct way to represent the graph of the inequality x ≥ 3 on a number line?
Responder(C)
A closed circle on 3 and a line shading to the right.
30
The inequality x + 3 < 7 is true when:
31
Which number line correctly represents the solution to the inequality x < 4?
Responder(D)
A number line with an open circle at 4, and shading to the left.
32
Solve for x: 4x - 1 < 7 and represent on a number line.
Responder(A)
x < 2, open circle at 2, and shading to the left.
33
What do you do when solving an inequality and multiply or divide by a negative number?
Responder(B)
Reverse the inequality sign.
34
Which of the following correctly describes the solution of the inequality -3x > 12?
35
Given the following inequalities: y ≤ x + 5, y ≥ -x - 5, y ≥ 0, which of the following point is a solution of these inequalities?
36
The graph of which inequality is a solid line with shading above the line?
37
Consider the inequalities: y < -x + 5, y > 3, x > 0. The region defined by these inequalities is a:
