alleryThe solution set of 7x + 3 < 5x + 9 is written in interval form as
- [3, ∞)
- (-∞, 3)
- (-∞, 3]
- (3, ∞)
Show answer and solution
Correct answer: B. (-∞, 3)
Simplifying gives 2x < 6, so x < 3, which is the open interval (-∞, 3).
AP Intermediate 1st Year Linear Inequalities — practice questions — page 2
Explore 50 free Linear Inequalities questions in AP Intermediate 1st Year Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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The solution set of 7x + 3 < 5x + 9 is written in interval form asRead the answer and worked solution →A student scored 56 and 64 in two tests. What least mark in a third test gives an average of at least 70?Read the answer and worked solution →How many pairs of consecutive odd natural numbers, both above 10, have a sum below 40?Read the answer and worked solution →Solve -8 ≤ 5x - 3 < 7.Read the answer and worked solution →The system 3x - 7 < 5 + x and 11 - 5x ≤ 1 has which solution?Read the answer and worked solution →A liquid must stay between 10 °C and 15 °C. What is the range in °F using F = 9C/5 + 32?Read the answer and worked solution →A solution is kept between 68° F and 77° F. What is the range in Celsius?Read the answer and worked solution →IQ = (MA / CA) x 100. For 12 year olds with 80 ≤ IQ ≤ 140, what is the range of mental age MA?Read the answer and worked solution →How is the solution x > 4 drawn on a number line?Read the answer and worked solution →What is the smallest integer x with 3x + 2 > 11?Read the answer and worked solution →Adding 5 to both sides of x - 5 < 2 givesRead the answer and worked solution →Which operation on both sides of an inequality reverses its sign?Read the answer and worked solution →Solve 2(2x + 3) - 10 < 6(x - 2) for real x.Read the answer and worked solution →Solve 37 - (3x + 5) > 9x - 8(x - 3) for real x.Read the answer and worked solution →Which is the solution of 5x - 3 > 3x - 5?Read the answer and worked solution →Five exams average at least 85 needed. Marks so far are 84, 90, 92 and 94. What least mark is needed in the fifth?Read the answer and worked solution →Longest side is 3 times the shortest; third is 2 cm less than longest. Perimeter is at least 61 cm. Least shortest side?Read the answer and worked solution →Pieces of lengths x, x + 3 and 2x are cut from a 91 cm board. What is the greatest whole value of x?Read the answer and worked solution →For pieces x, x + 3 and 2x, the third must be at least 5 cm longer than the second. The least x isRead the answer and worked solution →600 L of 12% acid has x L of 30% acid added to give a mixture between 15% and 18% acid. Find x.Read the answer and worked solution →
Worked practice questions
A student scored 56 and 64 in two tests. What least mark in a third test gives an average of at least 70?
- 90
- 100
- 80
- 85
Show answer and solution
Correct answer: A. 90
The total must be at least 210, and 56 + 64 = 120, so the third mark must be at least 90.
How many pairs of consecutive odd natural numbers, both above 10, have a sum below 40?
- 4
- 2
- 5
- 3
Show answer and solution
Correct answer: A. 4
With smaller number x, 10 < x < 19 and x is odd, giving 11, 13, 15, 17 and so four pairs.
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