Advertisements
Advertisements
प्रश्न
Solve the following inequalities in the given universal set:
3x - 5 > x + 7: x ∈ N
उत्तर
We have
3x - 5 > x + 7
⇒ 3x - x > 7 + 5
⇒ 2x > 12
⇒ x > 6
As x ∈ N, x can take values 7, 8, 9, 10, ......
This set is drawn on the number line as follow.
APPEARS IN
संबंधित प्रश्न
If a – c > b – d; then a + d > b + c
If the replacement set is the set of real numbers, solve:
`(x + 3)/8 < (x - 3)/5`
Solve for x in the following in equation, if the replacement set is N<10:
2x + 1 < 17
Solve for x in the following in-equation, if the replacement set is R;
2x - 7 ≥ 5x + 8
Graph the solution sets of the following inequalities:
2x - 4 > 3, x ∈ W
Solve the following inequation and graph the solution set,
2x - 5 ≤ 5x + 4 < 11n ∈ R.
Solve the following inequalities in the given universal set:
4x + 2 ≤ 2x - 7; x ∈ I
Find the solution set of the following inequalities and draw the graph of their solutions sets:
`| x + 5 | < 8`
Find the solution set of the following inequalities and draw the graph of their solutions sets:
| 3 - 2x | ≥ 2
One-third of a bamboo pole is buried in mud, one-sixth of it is in water and the part above the water is greater than or equal to 3 metres. Find the length of the shortest pole.
