Advertisements
Advertisements
Question
Solve the inequation:
`-2 1/2 + 2x <= (4x)/5 <= 4/3 + 2x, x ∈ W`.
Graph the solution set on the number line.
Solution
`-2 1/2 + 2x <= (4x)/5 <= 4/3 + 2x`
`-2 1/2 <= (4x)/5 - 2x <= 4/3`
`-5/2 <= - (6x)/5 <= 4/3`
`25/12 >= x >= -10/9`
`2.083 >= x >= -1.111`
Since, x ∈ W
∴ Solution set = {0, 1, 2}
The solution set can be represented on number line as
APPEARS IN
RELATED QUESTIONS
Represent the solution of the following inequalities on the real number line:
7 – x ≤ 2 – 6x
If P = {x : 7x – 4 > 5x + 2, x ∈ R} and Q = {x : x – 19 ≥ 1 – 3x, x ∈ R}; find the range of set P ∩ Q and represent it on a number line.
Given: A = {x : –8 < 5x + 2 ≤ 17, x ∈ I}, B = {x : –2 ≤ 7 + 3x < 17, x ∈ R}
Where R = {real numbers} and I = {integers}. Represent A and B on two different number lines. Write down the elements of A ∩ B.
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.
Solve the following linear in-equation and graph the solution set on a real number line:
3(5x+ 3) ≥ 2(9x-17), x ∈ W
Graph the solution set for each inequality:
5 ≤ x < 10
Solve the following inequalities and represent the solution on a number line:
3(x - 2) > 1
Solve the following inequalities and represent the solution on a number line:
`(2x + 5)/(4) > (4 - 3x)/(6)`
Solve `(3x)/(5) - (2x - 1)/(3)` > 1, x ∈ R and represent the solution set on the number line.
Solve the inequation : `-2(1)/(2) + 2x ≤ (4x)/(3) ≤ (4)/(3) + 2x, x ∈ "W"`. Graph the solution set on the number line.
