Advertisements
Advertisements
प्रश्न
Find the values of x, which satisfy the inequation `-2 5/6 < 1/2 - (2x)/3 ≤ 2, x ∈ W`. Graph the solution set on the number line.
उत्तर
Consider the given inequation:
`-2 5/6 < 1/2 - (2x)/3 ≤ 2`
`=> (-17)/6 < (3 - 4x)/6 < 12/6`
`=> 17/6 > (4x - 3)/6 ≥ (-12)/6`
`=> 17 > 4x - 3 ≥ -12`
`=> -12 ≤ 4x - 3 < 17`
`=> -12 + 3 ≤ 4x - 3 + 3 < 17 + 3`
`=> -9 ≤ 4x < 20`
`=> -9/4 ≤ (4x)/4 < 20/4`
`=> -9/4 ≤ x < 5`
Since x ∈ W, the required solution set = {0, 1 ,2, 3, 4}
And the required number line is as follows:
APPEARS IN
संबंधित प्रश्न
Solve the following linear in-equation and graph the solution set on a real number line:
2x - 7 < 5x + 2 ≤ 3x + 14, x ∈ R
Graph the solution set for each inequality:
-3≤ x ≤3.
Solve the following inequalities and represent the solution on a number line:
2x + 3 < 5
Solve the following inequalities and represent the solution on a number line:
3(x - 2) > 1
Solve the following inequalities and represent the solution set on a number line:
`0 < (3x - 2)/(4) ≤ 2`
Solve the following inequalities and represent the solution set on a number line:
`3 > (2(3 - 4x))/(7) ≥ - 2`.
Solve the following inequation, write the solution set and represent it on the number line:
`-x/(3) ≤ x/(2) - 1(1)/(3) < (1)/(6), x ∈ R`
Solve the inequation = 12 + `1(5)/(6)` ≤ 5 + 3x, x ∈ R. Represent the solution on a number line.
Solving the following inequation, write the solution set and represent it on the number line. – 3(x – 7)≥15 – 7x > `(x + 1)/(3)` , n ∈R
Solve the following inequation and represent the solution set on the number line : `4x - 19 < (3x)/(5) - 2 ≤ -(2)/(5) + x, x ∈ "R"`
