Advertisements
Advertisements
प्रश्न
Solve the inequation:
5x + 7 > 4 – 2x
उत्तर
5x + 7 > 4 – 2x
Adding 2x on both sides, we get
7x + 7 > 4
Subtracting 7 from both sides, we get
7x > – 3
Dividing by 7 on both sides, we get
∴ `"x" > -3/7`
i.e., x takes all real values greater than `(-3)/7`
∴ The solution set is unbounded open interval `((-3)/7,∞)`
APPEARS IN
संबंधित प्रश्न
Write the inequation that represent the interval and state whether the interval is bounded or unbounded.
[−4, 7/3]
Write the inequation that represent the interval and state whether the interval is bounded or unbounded.
[0, 0.9]
Write the inequation that represent the interval and state whether the interval is bounded or unbounded.
`(- ∞,∞)`
Write the inequation that represent the interval and state whether the interval is bounded or unbounded.
`[5, ∞]`
Write the inequation that represent the interval and state whether the interval is bounded or unbounded.
(– 11, – 2)
Write the inequation that represent the interval and state whether the interval is bounded or unbounded.
`(-∞, 3)`
Rajiv obtained 70 and 75 marks in first two unit tests. Find the minimum marks he should get in the third test to have an average of at least 60 marks.
Find all pairs of consecutive odd positive integers both of which are smaller than 10 such that their sum is more than 11.
Find all pairs of consecutive even positive integers, both of which are larger than 5 such that their sum is less than 23.
The longest side of a triangle is twice the shortest side and the third side is 2cm longer than the shortest side. If the perimeter of the triangle is more than 166 cm then find the minimum length of the shortest side.
