The phrase no more than divides the sentence into what should be on the left-hand side and what should be on the right-hand side of the inequality.
12 ≤ - 1.5 w +4
Practice makes perfect
Every inequality has an inequality symbol and values or expressions on either side of this symbol. In this exercise, we have the phrase no more than, so we can identify that the inequality symbol should be ≤.
Twelve ≤ the sum of-1.5 times a number w and 4On the right-hand side, we have two key phrases: the sum of and times These words tell us the operations that will be used in our inequality. The sum of indicates addition and times indicates multiplication.
the sum of -1.5 times a number w and 4
( -1.5) * w + 4
On the left-hand side, we have a constant. Putting these sides together, we have a complete inequality.
12 is no more than the sum of -1.5 times a number w and 4
12 ≤ ( -1.5) * w + 4
