choose the correct solution and graph for the inequality -y/2_<3
To solve the inequality -y/2 ≤ 3, we first multiply both sides of the inequality by -2 to remove the fraction. However, when we multiply or divide both sides of an inequality by a negative number, the inequality sign flips. So, multiplying both sides by -2 gives us y ≥ -6.
The correct solution to the inequality is y ≥ -6. This means that any value of y that is greater than or equal to -6 satisfies the inequality.
To graph this solution on a number line, we start by drawing a line and marking -6 with a closed circle (since it includes equality). We then draw an arrow extending to the right to represent all values that are greater than -6. The graph would look like this:
<-------------------------------- o--------------------------->
-6
The closed circle indicates that -6 is included in the solution, and the arrow shows that the solution extends infinitely to the right.