alleryStart learning →If 2x + 3 < 11, which statement about x must be true?
- x > 7
- x < 4
- x > 4
- x < 7
Show answer and solution
Correct answer: B. x < 4
Subtracting 3 gives 2x < 8, and dividing by the positive 2 gives x < 4.
CA Foundation Linear Inequalities — practice questions
Explore 42 free Linear Inequalities questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
Practise Linear Inequalities with Quill →Linear Inequalities questions and exercises with answers
Showing questions 1–30 of 42.
If 2x + 3 < 11, which statement about x must be true?Read the answer and worked solution →Solve the inequality -3x > 12.Read the answer and worked solution →Multiplying both sides of 4 > 2 by -1 gives which true statement?Read the answer and worked solution →When both sides of an inequality are divided by a negative number, what happens to the sign?Read the answer and worked solution →Adding the same constant to both sides of an inequality has what effect on the sign?Read the answer and worked solution →Solve x/2 - 1 ≤ 3.Read the answer and worked solution →What is the smallest integer x that satisfies 3x - 2 > 10?Read the answer and worked solution →How many positive integers x satisfy x + 2 < 6?Read the answer and worked solution →How many natural numbers x satisfy 2x - 1 ≤ 7?Read the answer and worked solution →A taxi charges Rs 20 fixed plus Rs 12 per km. With Rs 200, what is the greatest whole number of km you can travel?Read the answer and worked solution →A student scored 62 and 70 in two tests. What is the least score in a third test for an average of at least 75?Read the answer and worked solution →With Rs 1000, what is the most shirts you can buy at Rs 240 each?Read the answer and worked solution →When graphing a strict inequality like x + 3y < 9, how is the boundary line drawn?Read the answer and worked solution →Which point satisfies the inequality x + 3y < 9?Read the answer and worked solution →Which point does NOT satisfy x - y ≤ 2?Read the answer and worked solution →Which point lies strictly inside the region x + y > 4?Read the answer and worked solution →A system of linear inequalities has a solution set that is what kind of set?Read the answer and worked solution →Fourier–Motzkin elimination is used for what purpose?Read the answer and worked solution →A linear programming problem optimizes which kind of function?Read the answer and worked solution →The feasible region of a linear program is what kind of shape?Read the answer and worked solution →Who published a method for solving systems of linear inequalities in 1827?Read the answer and worked solution →What does the symbol ≤ stand for?Read the answer and worked solution →If a < b and b < c for real numbers, what follows by transitivity?Read the answer and worked solution →If a > b for real numbers, which statement about -a and -b is true?Read the answer and worked solution →If 0 < a < b, how do 1/a and 1/b compare?Read the answer and worked solution →The notation a < b < c means which of the following?Read the answer and worked solution →Solve 2(x - 3) > 4x + 2.Read the answer and worked solution →Meena spends Rs 25 on a notebook and the rest on Rs 15 pens, within Rs 100. Most pens?Read the answer and worked solution →A firm has cost Rs 2000 + 50x and revenue 90x for x units. What is the least whole number of units that gives a profit?Read the answer and worked solution →A rectangle's length is 5 cm more than its breadth and its perimeter is at most 50 cm. What is the greatest breadth?Read the answer and worked solution →
Worked practice questions
Solve the inequality -3x > 12.
- x > -4
- x < -4
- x < 4
- x > 4
Show answer and solution
Correct answer: B. x < -4
Dividing by -3 is division by a negative constant, so the sign reverses and x < -4.
Multiplying both sides of 4 > 2 by -1 gives which true statement?
- 4 < 2
- -4 < -2
- -4 > -2
- -4 = -2
Show answer and solution
Correct answer: B. -4 < -2
Multiplying by a negative number reverses the inequality, so 4 > 2 becomes -4 < -2.
How to practise
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