Select the correct solution set.

-7x ≥ 56

{x | x ≤ -8}
{x | x ≥ -8}
{x | x ≥ 8}

-7x ≥ 56.

Divide both sides by -7, and the inequality sign reverses, because we are dividing by a negative number.

The sign also reverses when you multiply both sides of inequality by a negative number.

-7x/-7   ≤   56/-7

x  ≤ -8

The answer is the first option.

{x | x ≤ -8}

This simply means x, such that x is less than or equal to -8.

I hope this helped.