inequality
Reading Passage 1
Saving and Comparing Money
Jalen is saving money to buy new shoes. He wants to have more than $50 before he goes to the store. If he has an amount of money called x, he can show this with an inequality like x > 50. Each week, he adds more money. He uses this inequality to see if he has enough money.
When solving an inequality, you must do the same thing to both sides. If you add or subtract, the inequality stays the same. If you multiply or divide by a positive number, it also stays the same. But if you multiply or divide by a negative number, the sign changes. This means the direction of the inequality flips.
Now Jalen has a new goal. He wants to have at least $40 after buying a game that costs $15. If he starts with an amount x, this can be shown as an inequality like x − 15 ≥ 40. This shows what must be true about his money.
Reading Passage 2
Saving and Comparing Money
Jalen is saving money to buy a new pair of shoes. He wants to have more than $50 before he goes to the store. If he currently has an amount of money represented by x, he can show this using an inequality like x > 50. Each week, he adds money to what he already has. Jalen uses this inequality to compare how much money he has to his goal.
When solving an inequality, you can change both sides in the same way to keep the comparison true. If you add or subtract the same number on both sides, the direction of the inequality stays the same. If you multiply or divide both sides by a positive number, the comparison also stays the same. However, when you multiply or divide both sides by a negative number, the direction of the inequality changes. This happens because the values switch positions on a number line.
Now imagine Jalen has a different goal. He wants to have at least $40 after buying a game that costs $15. If he starts with an amount represented by x, this situation can be shown with an inequality like x − 15 ≥ 40. This helps represent what must be true about his money.
Reading Passage 3
Saving and Comparing Money
Jalen is saving money to buy a new pair of shoes. He wants to have more than $50 before he goes to the store. If his current amount is represented by x, he can model this situation with an inequality such as x > 50. As he adds money each week, he uses this inequality to determine whether his total meets his goal. This comparison helps him decide if he is ready to make the purchase.
When solving an inequality, it is important to maintain a true comparison between both sides. Adding or subtracting the same value keeps the inequality balanced. Multiplying or dividing by a positive number also preserves the direction of the comparison. However, multiplying or dividing by a negative number reverses the direction of the inequality. This occurs because the relative positions of the values change on a number line.
Now consider a different situation. Jalen wants to have at least $40 after buying a game that costs $15. If his starting amount is represented by x, this situation can be modeled with an inequality such as x − 15 ≥ 40. This representation shows the condition his money must satisfy.