CBSE Class 11 (Science) Linear Inequalities — practice questions
54 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 11 (Science) Linear Inequalities in the app →Two real numbers or two algebraic expressions related by <, >, ≤ or ≥ form:Which of the following is a STRICT inequality?Solve 30x < 200 where x is a natural number. The solution set is:Solve 5x - 3 < 3x + 1 where x is an integer.Add the same number 5 to both sides of -4 ≤ -2. The result is:Divide BOTH sides of -6x ≥ 24 by -3. Result:Identify the linear inequality in TWO variables.Solve -3x + 5 > 2 over real numbers.Identify a QUADRATIC inequality (not a linear inequality).Solve 3 ≤ 2x - 1 ≤ 7 (a DOUBLE inequality) for real x.In one variable, the inequality 2(x - 1) ≥ x + 5 solves to:Solve the inequality (x - 3)/2 + 1 < 0 over real numbers.In the inequality 3x + 5 ≤ 2x + 7, after using Rule 1 to move x-terms to one side:Both sides of 3 > 2 are multiplied by -1. Which statement results?Which inequality says that x is at most 7?ax + b ≥ 0 with a ≠ 0 is a linear inequality in how many variables?ax² + bx + c > 0 with a ≠ 0 is what kind of inequality?Which set lists the natural numbers x satisfying 3x < 12?What is the largest natural number x with 30x < 200?Dividing -5x ≤ -40 by -5 gives which inequality?The solution set of 7x + 3 < 5x + 9 is written in interval form asA student scored 56 and 64 in two tests. What least mark in a third test gives an average of at least 70?How many pairs of consecutive odd natural numbers, both above 10, have a sum below 40?Solve -8 ≤ 5x - 3 < 7.The system 3x - 7 < 5 + x and 11 - 5x ≤ 1 has which solution?A liquid must stay between 10 °C and 15 °C. What is the range in °F using F = 9C/5 + 32?A solution is kept between 68° F and 77° F. What is the range in Celsius?IQ = (MA / CA) x 100. For 12 year olds with 80 ≤ IQ ≤ 140, what is the range of mental age MA?How is the solution x > 4 drawn on a number line?What is the smallest integer x with 3x + 2 > 11?Adding 5 to both sides of x - 5 < 2 givesWhich operation on both sides of an inequality reverses its sign?Solve 2(2x + 3) - 10 < 6(x - 2) for real x.Solve 37 - (3x + 5) > 9x - 8(x - 3) for real x.Which is the solution of 5x - 3 > 3x - 5?Five exams average at least 85 needed. Marks so far are 84, 90, 92 and 94. What least mark is needed in the fiLongest side is 3 times the shortest; third is 2 cm less than longest. Perimeter is at least 61 cm. Least shorPieces of lengths x, x + 3 and 2x are cut from a 91 cm board. What is the greatest whole value of x?For pieces x, x + 3 and 2x, the third must be at least 5 cm longer than the second. The least x is600 L of 12% acid has x L of 30% acid added to give a mixture between 15% and 18% acid. Find x.x litres of water are added to 1125 L of 45% acid so the acid is between 25% and 30%. Find x.Solve the pair 5x + 1 > -24 and 5x - 1 < 24.Solve 2(x - 1) < x + 5 and 3(x + 2) > 2 - x together.Solve 3x - 7 > 2(x - 6) and 6 - x > 11 - 2x together.Reshma has 120 rupees; a register costs 40 and a pen 20. Which inequality fits x registers and y pens?The statements 3 < 5 and 7 > 5 are examples of which type?The solution set of ax + by < c is represented graphically by what?Since (0, 0) gives 0 < 9 for x + 3y < 9, the solution region isFor a strict inequality ax + by < c, the line ax + by = c isIn a list of inequality symbols, what does the symbol ≠ stand for?What replaces the equality sign when a linear equation becomes a linear inequality?Which interval notation gives all real x with x ≥ 8?How many natural numbers x satisfy 24x < 100?What is the greatest integer x satisfying -12x > 30?