Advertisements
Advertisements
प्रश्न
Solve 2 ≤ 2x – 3 ≤ 5, x ∈ R and mark it on a number line.
उत्तर
2 ≤ 2x – 3 ≤ 5, x ∈ R
2 ≤ 2x - 3; 2x - 3 ≤ 5
2 + 3 ≤ 2x; 2x ≤ 5 + 3
or 5 ≤ 2x; 2x ≤ 8
2x ≥ 5; x≤ 4
or x ≥`(5)/(2)`
∴ x ≥ 2`(1)/(2)` and x ≤ 4
(solution set is 2·5 ≤ x ≤ 4)
APPEARS IN
संबंधित प्रश्न
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.
Represent the following inequalities on real number line:
2x – 1 < 5
Represent the following inequalities on real number line:
– 2 ≤ x < 5
For the following inequations, graph the solution set on the real number line:
x – 1 < 3 – x ≤ 5
Given:
A = {x : 11x – 5 > 7x + 3, x ∈ R} and
B = {x : 18x – 9 ≥ 15 + 12x, x ∈ R}.
Find the range of set A ∩ B and represent it on the number line.
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 linear in-equation and graph the solution set on a real number line:
2x - 11≤ 7 - 3x, x ∈ N
Given that x ∈ I, solve the inequation and graph the solution on the number line: `3 ≥ (x - 4)/(2) + x/(3) ≥ 2`
Given that x ∈ R, solve the following inequation and graph the solution on the number line: – 1 ≤ 3 + 4x < 23.
Solve the following inequation, write the solution set and represent it on the real number line.
`5x - 21 < (5x)/7 - 6 ≤ -3 3/7 + x, x ∈ R`