Question

Determine the largest integer value of x in the solution of the following inequality.

Answer 1

From the solution the largest possible integer value of x is;

`-6`

Step-by-step explanation:

Given the inequality;

`-x-1\ge5`

To solve, let's add 1 to both sides of the inequality;

`\begin{gathered} -x-1+1\ge5+1 \\ -x\ge6 \end{gathered}`

then let us divide both sides of the inequaty by -1.

Note: since we are dividing by a negative number the inequality sign will change.

`\begin{gathered} (-x)/(-1)\leq(6)/(-1) \\ x\leq-6 \end{gathered}`

Therefore, From the solution the largest possible integer value of x is;

`-6`