Chapter 5
2 ≤ 3x - 4 ≤ 5 2. 6 ≤ - 3 (2x - 4) < 12
73 4 18 2 x- ≤ − ≤ 4. 3 215 0 5 ( x )−− < ≤
312 4 2 5 x− < − ≤ − 6. 3 117 112 ( x )+≤ ≤ . Solve the inequalities in Exercises 7 to 10 and represent the solution graphically on number line.
5x + 1 > - 24, 5x - 1 < 24
2 (x - 1) < x + 5, 3 ( x + 2) > 2 - x
3x - 7 > 2 ( x - 6) , 6 - x > 11 - 2x
5 (2x - 7) - 3 (2x + 3) ≤ 0 , 2x + 19 ≤ 6x + 47 .
A solution is to be kept between 68° F and 77° F. What is the range in temperature in degree Celsius (C) if the Celsius / Fahrenheit (F) conversion formula is given by F = 5 C + 32 ?
A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it. The resulting mixture is to be more than 4% but less than 6% boric acid. If we have 640 litres of the 8% solution, how many litres of the 2% solution will have to be added? - v vv vv -
How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?
IQ of a person is given by the formula IQ = MA CA × 100, where MA is mental age and CA is chronological age. If 80 ≤ IQ ≤ 140 for a group of 12 years old children, find the range of their mental age.