Solve the following system of inequalities graphically: 2x + 19 6x + 47. ≤ The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side. LEVEL III – Solve the following system of inequalities: x 3, y 2. ≥ ≥ the following system of inequalities: 2x + y 3, 3x + 5y 2. ≥ ≥ Solve the following system of inequalities: 3x 7 < 5 + x, 11 -5x 1. – ≤ How many litres of water will have to be added to 1125 litres of 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% of acid content? LEVEL IV – Solve the following system of inequalities: 3( 1 x) < 2(x + 4) – Solve the following system of inequalities: x + y 1, x 5, y≤ 4 ≥ ≤ the following system of inequalities: > A manufacturer has 600 litres of a 12% solution of acid. How many litres of a 30% acid solution must be added to it so that acid content in the resulting mixture will be more than 15% but less than 18%?
Solve the following system of inequalities graphically: 2x + 19 ≤ 6x + 47. The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side. LEVEL – III Solve the following system of inequalities: x ≥ 3, y ≥ 2. the following system of inequalities: 2x + y ≥ 3, 3x + 5y ≥ 2. Solve the following system of inequalities: 3x – 7 < 5 + x, 11 -5x ≤ 1. How many litres of water will have to be added to 1125 litres of 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% of acid content? LEVEL – IV Solve the following system of inequalities: 3( 1 – x) < 2(x + 4) Solve the following system of inequalities: x + y ≥ 1, x ≤ 5, y≤ 4 the following system of inequalities: > A manufacturer has 600 litres of a 12% solution of acid. How many litres of a 30% acid solution must be added to it so that acid content in the resulting mixture will be more than 15% but less than 18%?
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