Mathematics
Which one of the following is not a solution to the inequality 2x > 18 - 5x?
- 7
- 5
- 3
- 1
Linear Inequations
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Answer
Given:
2x > 18 - 5x
⇒ 2x + 5x > 18 [Adding 5x on both sides]
⇒ 7x > 18
⇒ x >
⇒ x > 2.57
The solution must be greater than 2.57. Since 1 is not greater than 2.57, therefore 1 is not a solution.
Hence, option 4 is the correct option.
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Related Questions
Which one of the following is a solution to the inequality 3x - 5 < 6?
- 3
- 4
- 5
- 6
The solution set of the inequality 17 - 4x < 7, x ∈ Z is
- {1, 2, 3, ……………}
- {2, 3, 4, ……………}
- {3, 4, 5, ……………}
- {4, 5, 6, ……………}
Which one of the following statements is incorrect?
If a < b, then a - m < b - m
If a > b and m > 0, then am > bm
If a < b and m > 0, then > .
If a ≠ 0 and b ≠ 0, then a > b ⇒ < .
Fill in the blanks :
(i) A statement of inequality between two expressions is called an …………… .
(ii) The set from which the values of the variable satisfying a given inequality are chosen, is called the …………… .
(iii) Subset of the replacement set, consisting of all those values of the variable which satisfy the given inequation is called the …………… .
(iv) Multiplying each side of an inequality by a negative number, …………… the inequality.
(v) If a ≠ 0, b ≠ 0 and a < b, then …………… .