Question

Which of the following is the solution to the inequality below?

-34 ≤ n/2
a) n = -118
b) n = -104
c) n = -92
d) n = -18

Answer 1

The solution to the inequality -34 ≤ n/2 is any value of n that is greater than or equal to -68. Both options c) n = -92 and d) n = -18 satisfy this condition.

Step-by-step explanation:

The given inequality is -34 ≤ n/2. To find the value of n, we need to isolate n by multiplying both sides of the inequality by 2.

• Multiply both sides by 2: -34 × 2 ≤ n/2 × 2
• Simplify: -68 ≤ n

Now we need to evaluate the options provided:

• a) n = -118 is less than -68, so it's not a solution.
• b) n = -104 is also less than -68, so it's not a solution.
• c) n = -92 is greater than -68, so it is a possible solution.
• d) n = -18 is also greater than -68, so it is a possible solution.

However, both c) -92 and d) -18 are solutions to the inequality because they are both greater than -68. So, the inequality is satisfied for any n that is greater than or equal to -68.