Given: -6x < 36. Choose the solution set. x < 6 x > 6 x < -6 x > -6

Question

Given: -6x < 36. Choose the solution set. x x x < -6 x > -6

Answer 1

The correct solution set for the inequality -6x < 36 is x , which means x can be any real number greater than -6.

Step-by-step explanation:

To solve the inequality -6x < 36, we start by dividing both sides of the inequality by -6. Remember, when we divide or multiply both sides of an inequality by a negative number, the direction of the inequality sign reverses. Thus, the inequality becomes:

-6x / -6 > 36 / -6

x > -6

This means the solution set is x , which signifies that x can be any real number greater than -6. It's important to clarify that x is not included in the solution set as it's not equal to -6, but any number larger than -6.

Answer 2

To solve the inequality -6x < 36, we need to isolate x on one side of the inequality sign. We can do this by dividing both sides of the inequality by -6, remembering to reverse the inequality sign because we are dividing by a negative number:

-6x < 36

x > -6

Therefore, the solution set for the inequality is x > -6.