Write the Inequality.The product of a number and 8 is at least 25

Question

Algerbra 2 and write the inequality that represents the sentence.

Answer 1

Let x = the unknown number

 

The product of the number and 8 (that is, 8x) is at least 25.  Thus 25 is the least or smallest value that 8x can have, but 8x can be larger than 25.  So we want 8x to be greater than or equal to 25:

 

8x ≥ 25

 

Solving for x:

 

x ≥ 25/8