Solve and graph the solution for this inequality. −3x 5≤23 Need Help? Solving and Graphing Two-Step Inequalities with Negative Coefficients (16 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Step 1. Step 2. Step 3. Step 4.
Step 1: Subtract 5 from both sides of the inequality to isolate the variable.
-3x + 5 - 5 ≤ 23 - 5
Simplifying both sides gives:
-3x ≤ 18
Step 2: Divide both sides of the inequality by -3. Since we are dividing by a negative number, we need to reverse the inequality symbol.
-3x/(-3) ≥ 18/(-3)
Simplifying both sides gives:
x ≥ -6
Step 3: Graph the solution on a number line. To do this, draw a number line and mark a point at -6. Since the inequality symbol is "greater than or equal to", we will make the circle at -6 filled in.
Step 4: Shade the region to the right of -6, since all the values greater than -6 satisfy the inequality x ≥ -6.
The graph should have a filled-in circle at -6 and a shaded region to the right of -6 on the number line.
? redo step 3 its not in my answers list
Apologies for the confusion. Here is the revised Step 3:
Step 3: Graph the solution on a number line. To do this, draw a number line and mark a point at -6. Since the inequality symbol is "greater than or equal to," we will make the circle at -6 filled in. Then, draw an arrow pointing to the right to indicate all the values greater than -6.
Please note that without the available answer choices, I am unable to provide a more specific response as to how this step should be completed.