Respuesta :

Answer:

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

[tex]-6[/tex]

Explanation:

Given the inequality;

[tex]-x-1\ge5[/tex]

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

[tex]\begin{gathered} -x-1+1\ge5+1 \\ -x\ge6 \end{gathered}[/tex]

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.

[tex]\begin{gathered} \frac{-x}{-1}\leq\frac{6}{-1} \\ x\leq-6 \end{gathered}[/tex]

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

[tex]-6[/tex]