Advertisements
Advertisements
प्रश्न
If x ∈ W, find the solution set of `(3)/(5)x - (2x - 1)/(1) > 1` Also graph the solution set on the number line, if possible.
उत्तर
`(3)/(5)x - (2x - 1)/(1) > 1`
9x – (10x – 5) > 15 ...(L.C.M. of 5, 3 = 15)
⇒ 9x – 10x + 5 > 15
⇒ – x > 15 – 5
⇒ – x > 10
⇒ x < – 10
But x ∈ W
Solution set = Φ
Hence it can’t be represented on number line.
APPEARS IN
संबंधित प्रश्न
Solve the following inequation, write down the solution set and represent it on the real number line:
–2 + 10x ≤ 13x + 10 < 24 + 10x, x 𝜖 Z
Solve the following inequation and write the solution set:
13x – 5 < 15x + 4 < 7x + 12, x ∈ R
Represent the solution on a real number line.
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.
The diagram represents two inequations A and B on real number lines:
- Write down A and B in set builder notation.
- Represent A ∪ B and A ∩ B' on two different number lines.
Solve the following inequalities and represent the solution on a number line:
`(3x)/(2) + (1)/(4) > (5x)/(8) - (1)/(2)`
Solve x – 3 (2 + x) > 2 (3x – 1), x ∈ { – 3, – 2, – 1, 0, 1, 2, 3}. Also represent its solution on the number line.
Solve the inequation – 3 ≤ 3 – 2x < 9, x ∈ R. Represent your solution on a number line.
The solution set for the following number line is:
The number line for the solution of inequation x > 5 and x < 10 (x ∈ R) is:
The real number lines for two inequations A and B are as given below, A ∩ B is:
