Advertisements
Advertisements
प्रश्न
Solve the following inequation and graph the solution on the number line.
`-2(2)/(3) ≤ x + (1)/(3) < 3(1)/(3); x ∈ "R"`
उत्तर
The given inequation has two parts:
`-2(2)/(3) ≤ x + (1)/(3) and x + (1)/(3) < 3 (1)/(3)`
`-(8)/(3) ≤ x + (1)/(3) and x + (1)/(3) < (10)/(3)`
`-(8)/(3) - (1)/(3) ≤ x and x < (10)/(3) - (1)/(3)`
`-(9)/(3) ≤ x and x ≤ (9)/(3)`
-3 ≤ x and x < 3
-3 ≤ x < 3
∴ The required graph line is:
APPEARS IN
संबंधित प्रश्न
Solve the following in equation and represent the solution set on the number line.
`R - 3 < -1/2 - (2x)/3 <= 5/6, x ∈ R`
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.
Use the real number line to find the range of values of x for which:
x > 3 and 0 < x < 6
Solve the following inequation and represent the solution set on the number line:
`4x - 19 < (3x)/5 - 2 <= (-2)/5 + x, x ∈ R`
Solve the following inequation and write down the solution set:
11x - a <15 x + 4 ≤ 12xk + 14 , x ∈ W
Represent the solution on a real number line.
Solve the following linear in-equation and graph the solution set on a real number line :
`1/3 (2x - 1) < 1/4 (x + 5) < 1/6 (3x + 4)`, x ∈ R
Solve 2 ≤ 2x – 3 ≤ 5, x ∈ R and mark it on number line.
Solve the following inequation and graph the solution on the number line. `-2(2)/(3) ≤ x + (1)/(3) < 3 + (1)/(3)`x∈R
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 inequation : 5x – 2 ≤ 3(3 – x) where x ∈ { – 2, – 1, 0, 1, 2, 3, 4}. Also represent its solution on the number line.
