Question

Which of the following values are solutions to the inequality -6 > 5 -x ? I. 5 II. 19 III. 11 a None b I only c III only d I and III e I and II f II and III g I, II and III

Answer 1

To find the values that satisfy the inequality -6 > 5 - x, subtract 5 from both sides and solve for x. Check which of the given values satisfy the inequality. The values that satisfy the inequality are II. 19 only.

Step-by-step explanation:

To find the values that satisfy the inequality -6 > 5 - x, we can solve it by isolating x on one side of the inequality. Let's start by subtracting 5 from both sides: -6 - 5 > - x. Simplifying this, we get -11 > - x. Now, we need to change the direction of the inequality sign when multiplying or dividing by a negative number, so let's multiply both sides by -1 to change the sign: 11 < x.

Now, we can check which of the given values satisfy the inequality:

I. 5: 11 < 5 is not true.

II. 19: 11 < 19 is true.

III. 11: 11 < 11 is not true.

Therefore, the values that satisfy the inequality are II. 19 only. So, the correct answer is (b) II only.