Question

2) Which statement is modeled by 2p + 5 < 11?

(1) The sum of 5 and 2 times p is at least 11.
(2) Five added to the product of 2 and p is less than 11.
(3) Two times p plus 5 is at most 11.
(4) The product of 2 and p added to 5 is 11

Answer 1

The inequality 2p + 5 < 11 is correctly represented by statement (2), which states that five added to the product of 2 and p is less than 11.

Step-by-step explanation:

The statement modeled by the inequality 2p + 5 < 11 is (2) Five added to the product of 2 and p is less than 11. To explain this, let's break down the statement step by step. First, we have the product of 2 and p, which is written as 2p. Next, we add 5 to this product, resulting in 2p + 5. The inequality sign '<' indicates that this sum is less than 11. Therefore, the statement is expressing that when you multiply p by 2 and add 5, the result is a number that is less than 11.

Answer 2

(2) Five added to the product of 2 and p is less than 11.

Step-by-step explanation:

2p + 5 is represented by five added to the product of 2 and p.

This is because 2p is the product, and 5 is added to it.

The less than inequality means that 2p + 5 is less than 11.

So, the correct statement is (2) Five added to the product of 2 and p is less than 11.