Advertisements
Advertisements
प्रश्न
Given A = {x : x ∈ I, – 4 ≤ x ≤ 4}, solve 2x – 3 < 3 where x has the domain A Graph the solution set on the number line.
उत्तर
2x – 3 < 3
⇒ 2x < 3 + 3
⇒ 2x < 6
⇒ x < 3
But x has the domain A = {x : x ∈ I – 4 ≤ x ≤ 4}
Solution set = { – 4, – 3, – 2, – 1, 0, 1, 2}
Solution set on Number line :
APPEARS IN
संबंधित प्रश्न
Solve the following inequation, write the solution set and represent it on the number line.
`-3(x - 7) >= 15 - 7x > (x+1)/3`, x ∉ R
Represent the following inequalities on real number line:
2(2x – 3) ≤ 6
Find the range of values of x, which satisfy:
`- 1/3 <= x/2 + 1 2/3 < 5 1/6`
Graph in each of the following cases the values of x on the different real number lines:
- x ∈ W
- x ∈ Z
- x ∈ R
Solve the inequation:
`-2 1/2 + 2x <= (4x)/5 <= 4/3 + 2x, x ∈ W`.
Graph the solution set on the number line.
Solve the inequation:
3z – 5 ≤ z + 3 < 5z – 9, z ∈ R.
Graph the solution set on the number line.
Solve the following linear in-equation and graph the solution set on a real number line:
2x - 7 < 5x + 2 ≤ 3x + 14, x ∈ R
Solve the following inequalities and represent the solution on a number line:
3x + 4 ≤ x + 8
Solve : 5 – 4x > 2 – 3x, x ∈ W. Also represent its solution on the number line.
Solve `(3x)/(5) - (2x - 1)/(3)` > 1, x ∈ R and represent the solution set on the number line.
Find the solution set of the inequation x + 5 < 2 x + 3 ; x ∈ R Graph the solution set on the number line.
