Represent the solution of the following inequalities on the real number line: 1 + x ≥ 5x – 11 - Mathematics

Represent the solution of the following inequalities on the real number line:

1 + x ≥ 5x – 11

Sum

1 + x ≥ 5x – 11

12 ≥ 4x

3 ≥ x

The solution on number line is

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Linear Inequations in One Variable

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Chapter 4: Linear Inequations (In one variable) - Exercise 4 (B) [Page 49]

Chapter 4 Linear Inequations (In one variable)
Exercise 4 (B) | Q 4.5 | Page 49

If a > b, then `a/c < b/c`

If the replacement set is the set of real numbers, solve:

8 – 3x ≤ 20

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`12 + 1 5/6 x ≤ 5 + 3x` and `x in R`.

Solve and graph the solution set of:

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2x - 4 > 3, x ∈ W

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2x -3 ≤ x + 2 ≤ 3x + 5 x ∈ R.

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

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

Find the greatest integer which is such that if 7 is added to its double, the resulting number becomes greater than three times the integer.