Mathematics
If x is an integer and 7 - 4x < 15, the solution set on the number line is:
1.

2.

3.

4.

Linear Inequations
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Answer
7 - 4x < 15
⇒ - 4x < 15 - 7
⇒ - 4x < 8
⇒ x < -
⇒ x < - 2
∵ As x is a integer.
∵ Solution set = {-1, 0, 1, 2, 3,…..}
Hence, option 3 is the correct option.

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Related Questions
If x ∈ {-7, -4, -1, 2, 5} and 25 - 3(2x -5) < 19; the solution set is:
{-7, -4, -1, 2}
{2, 5}
{0, 1, 2, 3}
{5}
If x is an integer and -4 < x ≤ 0, its solution set on the number line is:
1.

2.

3.

4.

Statement 1: A set from which the values of the variable involved in the inequation are chosen is called the solution set.
Statement 2: A linear inequation variable (or unknown) has exactly one solution.
Which of the following options is correct?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Assertion (A) : The solution set for :
x + 5 ≤ 10, if the replacement set is {x | x ≤ 5, x ∈ W} is {0, 1, 2, 3, 4, 5}.
Reason (R) : The set of elements of the replacement which satisfy the given inequation is called the solution set.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.