Advertisements
Advertisements
प्रश्न
Solve 2(x – 3)< 1, x ∈ {1, 2, 3, …. 10}
उत्तर
2(x – 3) < 1
⇒ x – 3 < `(1)/(2)`
⇒ x < `(1)/(2)` + 3
⇒ x < `3(1)/(2)`
But x ∈ {1, 2, 3 …..10}
Solution set = {1, 2, 3}
APPEARS IN
संबंधित प्रश्न
Represent the solution of the following inequalities on the real number line:
4x – 1 > x + 11
Illustrate the set {x : –3 ≤ x < 0 or x > 2; x ∈ R} on the real number line.
Given A = {x : –1 < x ≤ 5, x ∈ R} and B = {x : – 4 ≤ x < 3, x ∈ R}
Represent on different number lines:
A ∩ B
Solve the following in equation and write the solution set:
13x - 5 < 15x + 4 < 7x + 12, x ∈ R
Represent the solution on a real number line.
Graph the solution set for each inequality:
x < 4
Solve the equation and represent the solution set on the number line.
`-3 + x ≤ (8x)/(3)+ 2 ≤ (14)/(3)+ 2x`, where x ∈ I
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.
Solve `(3x)/(5) - (2x - 1)/(3)` > 1, x ∈ R and represent the solution set on the number line.
Solve `(2x + 1)/(2) + 2(3 - x) ≥ 7, x ∈ "R"`. Also graph the solution set on the number line
Solve the following inequation. Write down the solution set and represent it on the real number line.
–5(x – 9) ≥ 17 – 9x > x + 2, x ∈ R