describe the solutions of
4<or=n+2
mult. choice
a all real numbers greater than 4
b all real numbers greater than or equal to 2
c real numbers less than 2
d all real numbers less than or equal to 4
I got b
not sure how to show the work to prove it
Thanks for your help
4 ≤ n+2
-n ≤ -2
n ≥ 2
To find the solutions of the inequality 4 ≤ n + 2, you want to determine the range of values that satisfy this inequality. Here's how you can show the work and prove that the correct answer is option b:
Step 1: Start with the inequality 4 ≤ n + 2.
Step 2: Subtract 2 from both sides of the inequality to isolate the variable n:
4 - 2 ≤ n + 2 - 2
2 ≤ n
Step 3: Now, the inequality is simplified to 2 ≤ n, which means that n is greater than or equal to 2.
Step 4: Compare the simplified inequality to the answer choices provided:
a) All real numbers greater than 4
b) All real numbers greater than or equal to 2
c) Real numbers less than 2
d) All real numbers less than or equal to 4
Step 5: Based on the simplified inequality, 2 ≤ n, we can see that option b, "All real numbers greater than or equal to 2," matches the solution.
Therefore, the correct solution to the inequality 4 ≤ n + 2 is option b.
Remember, when solving inequalities, the key is to perform the same operation on both sides of the inequality to maintain the balance, similar to solving equations.