State, true or false : (i) x -y ⇒ -x y (ii) -5x 15 ⇒ x -3 (iii) 2x -7 ⇒ (iv) 7 5 ⇒

Question

State, true or false : (i) x -y ⇒ -x y (ii) -5x 15 ⇒ x -3 (iii) 2x -7 ⇒ (iv) 7 > 5 ⇒

KnowledgeBoat · Accepted Answer

(i) Given, x -y ∴ -x y [Using rule 5] Hence, the statement is True. (ii) Given, -5x 15 Dividing both sides of the above inequation by -5, ⇒ x -3 [Using rule 4] Hence, the statement is False. (iii) Given, 2x -7 Dividing both sides of the above inequation by -4, ⇒ [Using rule 4] Hence, the statement is True. (iv) Given, 7 5 Taking reciprocals, [Using rule 6] Hence, the statement is True.

Mathematics

State, true or false : (i) x -y ⇒ -x y (ii) -5x 15 ⇒ x -3 (iii) 2x -7 ⇒ (iv) 7 > 5 ⇒

Linear Inequations

Related Questions

For 7 - 3x < x - 5, the solution set is :
x > 3
x < 3
x ≥ 3
x ≤ 3

x(8 - x) > 0 and x ∈ N gives :
0 ≤ x < 8
1 < x ≤ 8
0 < x < 8
0 ≤ x ≤ 8

Solve the inequation :
3 - 2x ≥ x - 12 given that x ∈ N.

Mathematics

State, true or false : (i) x -y ⇒ -x y (ii) -5x 15 ⇒ x -3 (iii) 2x -7 ⇒ (iv) 7 > 5 ⇒

Linear Inequations

Related Questions

For 7 - 3x < x - 5, the solution set is :x > 3x < 3x ≥ 3x ≤ 3

x(8 - x) > 0 and x ∈ N gives :0 ≤ x < 81 < x ≤ 80 < x < 80 ≤ x ≤ 8

Solve the inequation :3 - 2x ≥ x - 12 given that x ∈ N.

For 7 - 3x < x - 5, the solution set is :
x > 3
x < 3
x ≥ 3
x ≤ 3

x(8 - x) > 0 and x ∈ N gives :
0 ≤ x < 8
1 < x ≤ 8
0 < x < 8
0 ≤ x ≤ 8

Solve the inequation :
3 - 2x ≥ x - 12 given that x ∈ N.