Question

solve the inequality and graph the solution.
3 - m > -3
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
-10 -8 -6 -4 -2 0 2 4 6 8 10
submit

Explanation:

Step1: Subtract 3 from both sides

$$3 - m-3> -3 - 3$$
$$-m>-6$$

Step2: Multiply both sides by - 1 and reverse the inequality sign

When multiplying or dividing an inequality by a negative number, the inequality sign flips. So,
$$(-m)\times(-1)<(-6)\times(-1)$$
$$m < 6$$

To graph the solution:

• Plot an open circle at \(m = 6\) (because the inequality is \(m<6\), the value \(m = 6\) is not included in the solution set).
• Draw a ray to the left of \(m = 6\) (since \(m\) is less than 6).

Answer:

The solution of the inequality \(3 - m> - 3\) is \(m < 6\). The graph has an open - circle at \(6\) and a ray extending to the left.