Advertisements
Advertisements
प्रश्न
Given that x ∈ I. solve the inequation and graph the solution on the number line:
`3 >= (x - 4)/2 + x/3 >= 2`
उत्तर
`3 >= (x - 4)/2 + x/3 >= 2`
`3 >= (3x - 12 + 2x)/6 >= 2`
`18 >= 3x - 12 + 2`
`18 + 12 >= 5x`
`30 >= 5x`
`6 >= x`
`3 >= (x - 4)/2 + x/3 >= 2`
`3 >= (3x - 12 + 2x)/6 >= 2`
`5x-12>=12`
`5x>=12+12`
`5x>=24`
`x>=24/5`
`x>=4.8`
{x : 4.8 ≤ x ≤ 6, x ∈ I}
Solution set = {5, 6}
It can be graphed on number line as
APPEARS IN
संबंधित प्रश्न
Represent the solution of the following inequalities on the real number line:
7 – x ≤ 2 – 6x
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 inequation and represent the solution set on the number line:
`-3 < -1/2 - (2x)/3 ≤ 5/6, x ∈ R`
Solve the following in equation and write the solution set:
13x – 5 < 15x + 4 < 7x + 12, x ∈ R
Solve : `(4x - 10)/(3) ≤ (5x - 7)/(2)` x ∈ R and represent the solution set on the number line.
Solve the inequation 2x – 5 ≤ 5x + 4 < 11, where x ∈ I. Also represent the solution set on the number line.
Solve the given inequation and graph the solution on the number line : 2y – 3 < y + 1 ≤ 4y + 7; y ∈ R.
Solve the inequation : 5x – 2 ≤ 3(3 – x) where x ∈ { – 2, – 1, 0, 1, 2, 3, 4}. Also represent its solution 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
The real number lines for two inequations A and B are as given below, A ∩ B is:
