Question

Can you please help me with Solve the inequality: −15−7x≤−11+13x Enter your answer as an interval, such as [a,∞) .

Answer 1

We have the following inequaltiy:

`-15-7x\le-11+13x`

By adding 11 to both sides, we have

`-4-7x\le13x`

Now, by adding 7x to both sides, we obtain

`-4\le20x`

or equivalently,

`20x\ge-4`

Finally, by dividing both sides by 20, we have

`\begin{gathered} x\ge(-4)/(20) \\ \text{then} \\ x\ge-(1)/(5) \end{gathered}`

Therefore, the answer in interval notation is:

`\lbrack-(1)/(5),\infty)`