Advertisements
Advertisements
प्रश्न
List the elements of the solution set of the inequation –3 < x – 2 ≤ 9 – 2x; x ∈ N.
उत्तर
–3 < x – 2 ≤ 9 – 2x
–3 < x – 2 and x – 2 ≤ 9 – 2x
–1 < x and 3x ≤ 11
`-1 < x ≤ 11/3`
Since, x ∈ N
∴ Solution set = {1, 2, 3}
APPEARS IN
संबंधित प्रश्न
If the replacement set is the set of whole numbers, solve:
18 ≤ 3x – 2
If the replacement set is the set of real numbers, solve:
`(x + 3)/8 < (x - 3)/5`
For graph given alongside, write an inequation taking x as the variable:
Find the range of values of x which satisfies
`-2 2/3 <= x + 1/3 < 3 1/3, x in R`
Graph these values of x on the number line.
Solve for x in the following in equation, if the replacement set is N<10:
x + 5 > 11
Solve for x in the following in-equation, if the replacement set is R;
2x - 7 ≥ 5x + 8
Solve for x : `"x"/4 + 3 <= "x"/3 + 4` , where xis a negative odd number.
If x + 17 ≤ 4x + 9, find the smallest value of x, when:
x ∈ Z
Solve the following inequation and graph the solution set,
2x -3 ≤ x + 2 ≤ 3x + 5 x ∈ R.
Find the solution set of the following inequalities and draw the graph of their solutions sets:
`|(x - 5)/(3)| < 6`