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?
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?
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 =
9
5
C + 32 ?
Solve the inequalities and represent the solution graphically on
number line.
7. 5x + 1 > – 24, 5x – 1 < 24
8. 2 (x – 1) < x + 5, 3 (x + 2) > 2 – x
9. 3x – 7 > 2 (x – 6) , 6 – x > 11 – 2x
10. 5 (2x – 7) – 3 (2x + 3) ≤ 0 , 2x + 19 ≤ 6x + 47
Solve the inequalities
1. 2 ≤ 3x – 4 ≤ 5 2. 6 ≤ – 3 (2x – 4) < 12
3.
7
3 4 18
2
x
– ≤ − ≤ 4.
3 2 15 0
5
( x ) −
− < ≤
5.
3
12 4 2
5
x
− < − ≤
−
6.
3 11 7 11
2
( x ) +
≤ ≤ .
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%?
In an experiment, a solution of hydrochloric acid is to be kept between
30° and 35° Celsius. What is the range of temperature in degree Fahrenheit if conversion
formula is given by C =
5
9
(F – 32), where C and F represent temperature in degree
Celsius and degree Fahrenheit, respectively
Solve the system of inequalities:
3x – 7 < 5 + x ... (1)
11 – 5 x ≤ 1 ... (2)
and represent the solutions on the number line.
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