The phrase at least divides the sentence into what should be on the left-hand side and what should be on the right-hand side of the inequality.
Example Inequality: 6* w≥ - 24 Solution: w≥ - 4
Practice makes perfect
We want to write the word sentence as an inequality and the solve it. We can do each of these things one at a time.
Word Sentence
Let's consider the given verbal expression!
Six times a numberw is at least- 24Every inequality has an inequality symbol and values or expressions on either side of this symbol. In this exercise, we have the phrase is at least, so we can identify that the inequality symbol should be ≥.
Six times a numberw ≥ - 24
On the left-hand side, we have one key phrase: times These words tell us the operations that will be used in our inequality. Times indicates multiplication.
Six times a numberw
6 * w
On the right-hand side, we have a constant. Putting these sides together, we have a complete inequality.
Six times a numberw is at least - 24
⇕
6 * w ≥ - 24
Solving the Inequality
We want to solve the given inequality. In this case, we can use the Division Property of Inequality. Let's divide both sides of the inequality by 6!
