Mathematics

Which of the following is not true for the linear inequations ?
Adding the same number to each side of an inequation does not change the inequality.
Multiplying each side of an inequation by the same positive number reverses the inequality.
Multiplying each side of an inequation by the same negative number reverses the inequality.
Dividing each side of an inequation by the same positive number does not change the inequality.

Linear Inequations

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Answer

We know that,

Multiplying each side of an inequation by the same negative number reverses the inequality, but there is no change on multiplying with positive number.

Hence, Option 2 is the correct option.

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Mathematics

Linear Inequations

Answer

Related Questions

Which of the following is reducible to a linear inequation?
7 - x² ≤ 5x + 3
$\dfrac{3}{x} - 8 \gt 4$
$4 - \dfrac{2}{x} \ge \dfrac{1}{x^2} - 6$
$11 - x \le 5x ^ 2 + 6$

Which of following is not reducible to a linear inequation ?
$3 - \dfrac{7}{x} \lt 5$
$8 + \dfrac{3}{x} \ge \dfrac{5}{x} - 4$
$\dfrac{6}{x} - 8 \gt \dfrac{4}{x} + 3x$
$\dfrac{3}{x - 1} - 7 \lt 9$

Which of the following is not true?
p > q ⇔ q > p
p < q ⇔ q > p
p ≥ q ⇔ q ≤ p
p ≤ q ⇔ q ≥ p

Which of the following is the solution set of x ≤ 7 when the replacement set is the set of natural numbers?
{1, 2, 3, 4, 5, 6, 7}
{0, 1, 2, 3, 4, 5, 6, 7}
{1, 2, 3, 4, 5, 6}
{0, 1, 2, 3, 4, 5, 6}

Mathematics

Linear Inequations

Answer

Related Questions

Which of the following is reducible to a linear inequation?7 - x2 ≤ 5x + 33x−8>4\dfrac{3}{x} - 8 \gt 4x3​−8>44−2x≥1x2−64 - \dfrac{2}{x} \ge \dfrac{1}{x^2} - 64−x2​≥x21​−611−x≤5x2+611 - x \le 5x ^ 2 + 611−x≤5x2+6

Which of following is not reducible to a linear inequation ?3−7x<53 - \dfrac{7}{x} \lt 53−x7​<58+3x≥5x−48 + \dfrac{3}{x} \ge \dfrac{5}{x} - 48+x3​≥x5​−46x−8>4x+3x\dfrac{6}{x} - 8 \gt \dfrac{4}{x} + 3xx6​−8>x4​+3x3x−1−7<9\dfrac{3}{x - 1} - 7 \lt 9x−13​−7<9

Which of the following is not true?p > q ⇔ q > pp < q ⇔ q > pp ≥ q ⇔ q ≤ pp ≤ q ⇔ q ≥ p

Which of the following is the solution set of x ≤ 7 when the replacement set is the set of natural numbers?{1, 2, 3, 4, 5, 6, 7}{0, 1, 2, 3, 4, 5, 6, 7}{1, 2, 3, 4, 5, 6}{0, 1, 2, 3, 4, 5, 6}

Which of the following is reducible to a linear inequation?
7 - x² ≤ 5x + 3
$\dfrac{3}{x} - 8 \gt 4$
$4 - \dfrac{2}{x} \ge \dfrac{1}{x^2} - 6$
$11 - x \le 5x ^ 2 + 6$

Which of following is not reducible to a linear inequation ?
$3 - \dfrac{7}{x} \lt 5$
$8 + \dfrac{3}{x} \ge \dfrac{5}{x} - 4$
$\dfrac{6}{x} - 8 \gt \dfrac{4}{x} + 3x$
$\dfrac{3}{x - 1} - 7 \lt 9$

Which of the following is not true?
p > q ⇔ q > p
p < q ⇔ q > p
p ≥ q ⇔ q ≤ p
p ≤ q ⇔ q ≥ p

Which of the following is the solution set of x ≤ 7 when the replacement set is the set of natural numbers?
{1, 2, 3, 4, 5, 6, 7}
{0, 1, 2, 3, 4, 5, 6, 7}
{1, 2, 3, 4, 5, 6}
{0, 1, 2, 3, 4, 5, 6}