Question

Which of the following sets shows all the numbers from the set {1,2,3,4} that are part of the solution to the inequality 7x + 6 > 20?

O{1,2,3)
O {2,3,4}
O {3,4}
O (4)

Answer 1

`\boxed{\large \{3, 4\}}`

Explanation:

1. Solve the inequality

`\begin{array}{rcll}7x + 6 & > & 20 & \\7x & > & 14 & \text{Subtracted 6 from each side}\\x & > & 2 & \text{Divided each side by 7}\\\end{array}`

2. Write the solution set

`\text{The solution set from $\{1, 2, 3, 4\}$ that satisfies the inequality is } \boxed{\large \mathbf{\{3, 4\}}}`

Note that {2} is not a member of the solution set because

7(2) + 6 ≯ 20