ICSE solutions for Mathematics [English] Class 10 chapter 5 - Linear Inequations (Solving Linear Inequations in One Variable) [Latest edition]

Give that x ∈ I. Solve the inequation and graph the solution on the number line:
`3≥(x  - 4)/(2)+x/(3)≥2`

Graph the solution set for each inequality:
x ≥ - 3

Graph the solution set for each inequality:
x < 4

Graph the solution set for each inequality:
-3< x <5

Graph the solution set for each inequality:
5 ≤ x < 10

Graph the solution set for each inequality:
-3< x ≤ 8

Graph the solution set for each inequality:
-3≤ x ≤3.

Solve the given inequation and graph the solution on the number line
2y - 3

Given that x ∈ R, solve the following inequality and graph the solution on the number line:

-1 ≤ 3 + 4x < 23

Given:
P = {x : 5 < 2x - 1 ≤ 11, x ∈ R}
Q = {x : -1 ≤ 3 + 4x < 23, x ∈ R}
Where R = (real number), I = (Integers) Reperesnr P and Q on number lines. Write down the elements of P ∩ Q.

Solve 2 ≤ 2x – 3 ≤ 5, x ∈ R and mark it on a number line.

For each inequality, determine which of the given numbers are in the solution set:
2x + 3 >11; -3, 4, 5, 7

For each inequality, determine which of the given numbers are in the solution set:
16 - 5 x ≤ - 4; 4, -3, 10.

Graph the solution sets of the following inequalities:
2x - 4 > 3, x ∈ W

Graph the solution sets of the following inequalities:
3x - 5 ≤ - 7, x ∈ I.

Solve the equation and represent the solution set on the number line.
`-3 + x ≤ (8x)/(3)+ 2 ≤ (14)/(3)+ 2x`, where x ∈ I

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 inequalities and graph their solution set
A = {x : 11x -5 ≥ 7x + 3, x ∈ R} and
B = {x : 18x - 9 ≥ 15 + 12x, x ∈ R}

Solve the following inequation and graph the solution set,
2x -3 ≤ x + 2 ≤ 3x + 5 x ∈ R.

Solve the following inequation and graph the solution set,
2x - 5 ≤ 5x + 4 < 11n ∈ R.

Solve the following inequation and graph the solution on the number line.
`-2(2)/(3) ≤ x + (1)/(3) < 3(1)/(3); x ∈ "R"`

Solve the following inequalities and represent the solution on a number line:
2x + 3 < 5

Solve the following inequalities and represent the solution on a number line:
3x + 4 ≤ x + 8

Solve the following inequalities and represent the solution on a number line:
2x - 3 > 5x + 4

Solve the following inequalities and represent the solution on a number line:
4 - 2x ≥ 6 - 3x

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 the following inequalities and represent the solution on a number line:
`(3x)/(2) + (1)/(4) > (5x)/(8) - (1)/(2)`

Solve the following inequalities and represent the solution set on a number line:
-4 ≤ 2x - 3 ≤ 5

Solve the following inequalities and represent the solution set on a number line:
`-3 < - (1)/(2) - (2x)/(3) < (5)/(6), x ∈ "R"`.

Solve the following inequalities and represent the solution set on a number line:
`0 < (3x - 2)/(4) ≤ 2`

Solve the following inequalities and represent the solution set on a number line:
`0 ≤ (3 - 2x)/(4) ≤ 1`

Solve the following inequalities and represent the solution set on a number line:
`3 > (2(3 - 4x))/(7) ≥ - 2`.

Solve the following inequation, write the solution set and represent it on the number line:

`-x/(3) ≤ x/(2) - 1(1)/(3) < (1)/(6), x ∈ R`

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 inequalities in the given universal set:
3x - 5 > x + 7: x ∈ N

Solve the following inequalities in the given universal set:
4x + 2 ≤ 2x - 7; x ∈ I 

Solve the following inequalities in the given universal set:
5x - 3 < 6x - 2; x ∈ N

Solve the following inequalities in the given universal set:
2x - 5 ≤ 5x + 4 < 11, where x ∈ I.

Find the solution set of the following inequalities and draw the graph of their solutions sets:
`| x + 5 | < 8`

Find the solution set of the following inequalities and draw the graph of their solutions sets:
| x - 1 | > 3

Find the solution set of the following inequalities and draw the graph of their solutions sets:
| 3 - 2x | ≥ 2

Find the solution set of the following inequalities and draw the graph of their solutions sets:
`|(x - 5)/(3)| < 6`

Find the solution set of the following inequalities and draw the graph of their solutions sets:
`(3)/|x - 2| > 5`.

Solve the following inequalities and graph their solution set:
`(2x - 5)/(x + 2) < 2`

Solve the following inequalities and graph their solution set:
`(x + 8)/(x + 1) > 1`.