Question

Which set only contains numbers that make the inequality true? x + 19 < 28 {10, 11, 12, 13} {10, 11, 12, 13} {3, 4, 5, 6} {3, 4, 5, 6} {12, 13, 14, 15} {12, 13, 14, 15} {7, 8, 9, 10}

Answer 1

{3, 4, 5, 6}

Explanation:

Inequalities represent the value of a variable by comparing them to other values.

Inequality Signs

Before answering the question, make sure you understand the different inequality signs.

• < - This sign represents less than. This means that the value on the left is less than the value on the right.
• > - This sign represents greater than. This means that the value on the left is greater than the value on the right.
• < - This sign means less than or equal to. So, the value on the left will be less than or the same as the value on the right.
• > - This sign means greater than or equal to. So, the value on the left will be greater than or the same as the value on the right.

Solving the Inequality

To make this question easier to answer, we can solve the inequality. Solving an inequality involves isolating the variable.

• To do this subtract 19 from both sides

• x < 9

Finding the Set

Now that we solved the inequality we can look for the correct set of numbers. Since we solved the inequality, we know that all of the correct values should be less than 9. However, because there was no equal to sign, 9 is not included in the set. The only set that has only correct solutions is {3, 4, 5, 6}.