Question

Solve the inequality 5(7x+9) less then or equal to 6x-2.

Answer 1

Given the inequality

`5(7x+9)\leq6x-2`
`\begin{gathered} 5\cdot7x+5\cdot9\leq6x-2 \\ 35x+45\leq6x-2 \\ 35x-6x\leq-2-45 \\ 29x\leq-47 \\ x\leq-(47)/(29) \end{gathered}`

So, the solution of the inequality is the interval ( -∞ , -47/29]