Advertisements
Advertisements
Question
Solve −2x ≥ 9 when x is a real number
Solution
Given – 2x ≥ 9
⇒ `- x ≥ 9/2`
⇒ `x ≤ - 9/2`
When x is a real number
`x ≤ - 9/2`
The solution set is `(- ∞, - 9/2]`
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 ≤ 5 and x ≥ − 3
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 an integer
Solve −2x ≥ 9 when x is a natural number
Solve: `(3(x - 2))/5 ≤ (5(2 - x))/3`
Solve: `(5 - x)/3 < x/2 - 4`
Find all pairs of consecutive odd natural numbers both of which are larger than 10 and their sum is less than 40
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?