inequalities Flashcards
(26 cards)
What symbol represents ‘greater than’ in inequalities?
>
What symbol represents ‘less than or equal to’ in inequalities?
≤
True or False: The solution to the inequality x + 3 < 7 is x < 4.
True
Fill in the blank: The solution set for the inequality 2x - 5 > 1 is ______.
x > 3
If x > 2 and x < 5, what is the range of x?
2 < x < 5
What does the inequality x ≥ 7 mean?
x is greater than or equal to 7
Which of the following is a solution to the inequality 3x + 1 < 10? A) 1 B) 3 C) 4
A) 1
True or False: The inequality -2x > 6 implies x < -3.
True
What is the first step to solve the inequality 4x - 8 ≤ 0?
Add 8 to both sides.
Fill in the blank: The solution to the inequality x + 5 > 2 is ______.
x > -3
If 5x - 15 < 0, what is the value of x?
x < 3
What is the graphical representation of the inequality x < 4?
A number line with an open circle at 4 and shading to the left.
Which inequality represents the statement ‘y is less than 10’?
y < 10
True or False: The inequality 7 - x ≤ 2 can be solved to find x ≥ 5.
True
What is the interval notation for the solution x > 1?
(1, ∞)
If x + 2 < 3, what is the maximum value of x?
x < 1
Fill in the blank: The inequality 2x + 3 ≥ 7 simplifies to ______.
x ≥ 2
What is the solution set for the inequality -3x < 9?
x > -3
Which of the following is the correct solution to the inequality 4x + 1 > 9? A) x > 2 B) x < 2 C) x = 2
A) x > 2
True or False: The solution to 2(x - 1) < 6 is x < 4.
True
What does the inequality x ≤ -1 indicate?
x is less than or equal to -1
If 3x - 4 ≥ 5, what is the minimum value of x?
x ≥ 3
Fill in the blank: The solution to the inequality x - 7 > 0 is ______.
x > 7
What is the solution to the compound inequality 1 < x + 2 < 5?
-1 < x < 3
