For graph given alongside, write an inequation taking x as the variable: - Mathematics

For graph given alongside, write an inequation taking x as the variable:

Sum

– 4 ≤ x < 3, x ∈ R

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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 2.3 | Page 49

If a > b, then a + c > b + c

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

`(x + 3)/8 < (x - 3)/5`

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

2 – 3x > 7 – 5x

x ∈ {real numbers} and –1 < 3 – 2x ≤ 7, evaluate x and represent it on a number line.

Solve for x in the following in-equation, if the replacement set is R;

14 - 3x > 5

Solve for x in the following in-equation, if the replacement set is R;

9 - 4x ≤ 15 - 7x

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

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

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

Given 20 – 5 x < 5 (x + 8), find the smallest value of x, when
(i) x ∈ I
(ii) x ∈ W
(iii) x ∈ N.