Question

Solve the inequality 6x - 7 > 5 - 2x

Answer 1

x > 1.5

Step-by-step explanation:
`\begin{gathered} 6x\text{ - 7 > 5 - 2x} \\ \text{collect like terms:} \\ 6x\text{ + 2x - 7 > 5} \\ 8x\text{ - 7 > 5} \end{gathered}`
`\begin{gathered} \text{add 7 to both sides:} \\ 8x\text{ - 7 + 7 > 5 + 7} \\ 8x\text{ > 12} \\ \end{gathered}`
`\begin{gathered} \text{divide both sides by 8:} \\ (8x)/(8)\text{ > }(12)/(8) \\ x\text{ > 3/2} \\ x\text{ > 1.5} \end{gathered}`