Answer: first choice
Step-by-step explanation: When you're asked to solve an inequality like -3.55g ≤ -28.4, your goal should be the same as it was when solving equations, to get g by itself on one side.
In this problem since g is being multiplied by -3.55 on the left side of the inequality, to get g by itself, we divide both sides by -3.55 but here is the rule you have to watch out for when solving inequalities.
When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.
So this ≤ in our original problem becomes ≥ in our second step.
On the left side, the -3.55's cancel and we're left with g and
on the right side, -28.4 divided by -3.55 is 8.
So we have g ≥ 8.
Our next task is to graph g ≥ 8 on a number line.
To graph this, we start with a closed dot at 8.
The reason we use a closed dot in this problem because not only is g greater than 8 but also equal to 8.
We then draw an arrow to the right to
represent all numbers greater than 8.
So, the first choice will be the correct one.
