Question

Solve and graph the inequality: [10 - 4x / 13] < 6

Answer 1

Given:

`10-(4x)/(3)\leq6`

Solving the inequality,we get:

`\begin{gathered} (30-4x)/(3)\leq6 \\ 30-4x\leq6*3 \\ 30-4x\leq18 \end{gathered}`
`\begin{gathered} -4x\leq18-30 \\ -4x\leq-12 \\ -x\leq-3 \\ x\ge3 \end{gathered}`

When we divide with (-1), the sign of inequality gets changed.

Now, Graph the inequality, we get:

The region highlighted with black after line x=3 is the graph for the inequality.