The phrase greater than or equal to 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: k≥ - 6 Solution: k≥ - 6
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!
34is greater than or equal to a numberk divided by - 8Every inequality has an inequality symbol and values or expressions on either side of this symbol. In this exercise, we have the phrase greater than or equal to, so we can identify that the inequality symbol should be ≥.
34 ≥ a numberk divided by - 8
On the right-hand side, we have one key phrase: divided by These words tell us the operations that will be used in our inequality. Divided by indicates division.
a numberk divided by - 8
k ÷ - 8
On the left-hand side, we have a constant. Putting these sides together, we have a complete inequality.
34 is greater than or equal to a numberk divided by - 8
⇕
3/4 ≥ k ÷ ( - 8)
Solving the Inequality
We want to solve the given inequality. In this case, we can use the Multiplication Property of Inequality. Let's multiply both sides of the inequality by - 8!
