Home › CBSE Class 11 › Mathematics › Linear Inequalities › A student who scored 70 marks in his first test …
A student who scored 70 marks in his first test of total 100 wants his AVERAGE of two tests to be AT LEAST 75. If x is his second test score (out of 100), the inequality describing x is:
A(70 + x)/2 < 75
B(70 + x)/2 ≥ 75 → x ≥ 80
Cx > 75
Dx = 80
Answer & Solution
Correct answer: B. (70 + x)/2 ≥ 75 → x ≥ 80
Average = (70 + x)/2. 'At least 75' means ≥ 75. So (70 + x)/2 ≥ 75 → 70 + x ≥ 150 → x ≥ 80. He needs 80 or more in the second test.
Related questions
How is the inequality x less than or equal to 1 written in interval notation?Solve 3(x - 2) less than or equal to 5x + 4 and write the answer in interval notation.What happens to an inequality sign when the same number is added to both sides?Solve the inequality negative 5x greater than 20.Which inequality symbol matches the phrase is at least?How is the inequality x greater than 3 written in interval notation?In the inequality 3x + 5 ≤ 2x + 7, after using Rule 1 to move x-terms to one side:Solve the inequality (x - 3)/2 + 1 < 0 over real numbers.