Question

y + 5 ⪰ 7

a) y ⪯ 2
b) y ⪯ 12
c) y ⪰ 2
d) y ⪰ 12

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality y + 5 ⪰ 7, we need to subtract 5 from both sides:

y + 5 - 5 ⪰ 7 - 5

This simplifies to:
y ⪰ 2

So the correct answer is:

d) y ⪰ 12

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine the correct answer, let's solve the inequality step by step:

1. Start with the given inequality: y + 5 ⪰ 7

2. Subtract 5 from both sides to isolate the 'y' term: y + 5 - 5 ⪰ 7 - 5
Simplifying: y ⪰ 2

Therefore, the correct answer is:

c) y ⪰ 2

Answer 3

[AI-generated answer — Explain Bot]

To determine which option satisfies the inequality y + 5 ⪰ 7, we need to isolate the variable y. Here are the steps to solve the inequality:

1. Start with the inequality: y + 5 ⪰ 7.
2. Subtract 5 from both sides of the inequality: (y + 5) - 5 ⪰ 7 - 5.
Simplifying, we get: y ⪰ 2.

Now that we have isolated the variable y, we can compare it to the options given.

a) y ⪯ 2: This option says that y is less than or equal to 2, but our inequality states that y must be greater than or equal to 2. Therefore, option a) is not correct.

b) y ⪯ 12: This option says that y is less than or equal to 12, which does not satisfy our inequality. Therefore, option b) is not correct.

c) y ⪰ 2: This option matches our solution from Step 2, where we found that y must be greater than or equal to 2. Therefore, option c) is correct.

d) y ⪰ 12: This option says that y is greater than or equal to 12, which is not the case according to our inequality. Therefore, option d) is not correct.

In conclusion, the option that satisfies the inequality y + 5 ⪰ 7 is c) y ⪰ 2.