Advertisements
Advertisements
Question
Solve the following inequalities
−13 ≤ 5x + 2 ≤ 32, x is an integer
Solution
−13 ≤ 5x + 2 ≤ 32
Subtracting throughout by 2
−13 – 2 ≤ 5x + 2 – 2 ≤ 32 – 2
−15 ≤ 5x ≤ 30
Dividing throughout by 5
`(-15)/5` ≤ `(5x)/5` ≤ `30/5`
– 3 ≤ x ≤ 6
∴ Since the solution is an integer between −3 and 6 both inclusive, we have the solution as −3, −2, −1, 0, 1, 2, 3, 4, 5, 6.
∴ x = −3, −2, −1, 0, 1, 2, 3, 4, 5 and 6.
APPEARS IN
RELATED QUESTIONS
Solve the following equation:
`1/("x - 1") + 2/("x" - 2) = 3/("x" - 3)`
If Megha’s age is increased by three times her age, the result is 60 years. Find her age
Separate 178 into two parts so that the first part is 8 less than twice the second part.
The length of a rectangle is twice its width. If its perimeter is 54 cm; find its length.
A man completed a trip of 136 km in 8 hours. Some part of the trip was covered at 15 km/hr and the remaining at 18 km/hr. Find the part of the trip covered at 18 km/hr.
The present age of a man is twice that of his son. Eight years hence, their ages will be in the ratio 7 : 4. Find their present ages
Solve: `"x" - ("x" - 1)/2 = 1 - ("x" - 2)/3`
A man sold an article for ₹ 396 and gained 10% on it. Find the cost price of the article
The sum of two numbers is 405 and their ratio is 8 : 7. Find the numbers.
Solve the following inequation
6x – 7 ≥ 35, where x is an integer
