Advertisements
Advertisements
Question
Solve −2x ≥ 9 when x is an integer
Solution
Given – 2x ≥ 9
⇒ `- x ≥ 9/2`
⇒ `x ≤ - 9/2`
x is an integer
`x ≤ - 9/2`
x ≤ – 4.5
x = …………., – 7, – 6, – 5
APPEARS IN
RELATED QUESTIONS
Represent the following inequalities in the interval notation:
x ≥ −1 and x < 4
Represent the following inequalities in the interval notation:
x < −1 or x < 3
Represent the following inequalities in the interval notation:
−2x > 0 or 3x − 4 < 11
Solve 23x < 100 when x is a natural number
Solve 23x < 100 when x is an integer
Solve −2x ≥ 9 when x is a real number
Solve −2x ≥ 9 when x is a natural number
Solve: `(3(x - 2))/5 ≤ (5(2 - x))/3`
To secure A grade one must obtain an average of 90 marks or more in 5 subjects each of maximum 100 marks. If one scored 84, 87, 95, 91 in first four subjects, what is the minimum mark one scored in the fifth subject to get A grade in the course?
A manufacturer has 600 litres of a 12 percent solution of acid. How many litres of a 30 percent acid solution must be added to it so that the acid content in the resulting mixture will be more than 15 percent but less than 18 percent?
A model rocket is launched from the ground. The height h reached by the rocket after t seconds from lift off is given by h(t) = −5t2 +100t, 0 ≤ t ≤ 20. At what time the rocket is 495 feet above the ground?
A plumber can be paid according to the following schemes: In the first scheme he will be paid rupees 500 plus rupees 70 per hour, and in the second scheme he will be paid rupees 120 per hour. If he works x hours, then for what value of x does the first scheme give better wages?
A and B are working on similar jobs but their monthly salaries differ by more than Rs 6000. If B earns rupees 27000 per month, then what are the possibilities of A’s salary per month?
