Question

Solve and graph the solution for this inequality
-3x+5< with line under it 23

Answer 1

To solve the inequality, we can isolate the variable x.

-3x + 5 < 23

Subtract 5 from both sides of the inequality:

-3x < 18

Now, divide both sides of the inequality by -3. Remember, when dividing by a negative number, we must reverse the inequality sign:

x > -6

The solution to the inequality is x > -6.

To graph the solution on a number line, we draw an open circle at -6 to represent that -6 is not included in the solution. Then, we shade the line to the right of -6 to indicate all the values that satisfy the inequality.

Here is the graph:

<====o===================>
-6