Question

What is the solution of the inequality shownbelow?10+b ≤ -1

Answer 1

Given the following inequality:

`10+b\le-1`

You need to remember that the following symbol means "Less than or equal to":

`\le`

In order to find the solution of the given inequality, you need to apply the Subtraction property of inequality, which states that if:

`aThen:[tex]a-cAnd if[tex]a>b`

Then:

`a-c>b-c`

Therefore in this case, you must subtract 10 from both sides of the inequality. Then, you get:

`\begin{gathered} 10+b-(10)\le-1-(10) \\ b\le-11 \end{gathered}`

The solution is:

`b\le-11`