Answer :
Final answer:
To represent the product of x and 7 being at least 15, the inequality is 7x ≥ 15. Upon solving, x must be greater than or equal to ⅓ or approximately 2.14.
Explanation:
The student is asked to create an inequality to represent a mathematical relationship where the product of a variable x and the number 7 is at least 15. The inequality to express this condition is 7x ≥ 15.
The word “at least” indicates that the product can be greater than or equal to 15, which is why the greater than or equal to symbol (≥) is used. To solve for x, one would divide both sides of the inequality by 7, yielding x ≥ 15/7 which simplifies to x ≥ ⅓ (approximately x ≥ 2.14).
Answer:
[tex]7x\geq 15[/tex]
Step-by-step explanation:
This problem lays out pretty clearly what needs to be done.
First, we know that we are writing an inequality.
Then, it tells us that we need 'the product of x and 7'. A product is the result of multiplication, so we can multiply 7 and x together to get 7x.
Next, it tells us that the product (7x) is at least 15. At least means that the product has to greater than or equal to 15. That clue tells us which inequality symbol will be used.
Put it all together and:
[tex]7x\geq 15[/tex]
Hope this helped!
