Question

Solve the inequality and graph the solution on the line provided.
5x - 15 < 10

Answer 1

To solve the inequality 5x - 15 < 10, we can follow these steps:

Add 15 to both sides of the inequality to isolate the term with x:
5x - 15 + 15 < 10 + 15
5x < 25
Divide both sides of the inequality by 5 to solve for x:
5x/5 < 25/5
x < 5
Therefore, the solution for the inequality is x < 5.

To graph the solution on the number line, we can draw a line with an open circle at 5 (since the inequality is less than, not less than or equal to), and shade the part of the line to the left of the circle to represent all the values of x that satisfy the inequality. Here's a rough sketch:

<-------------------o------------------->
5
The shaded region is on the left side of the open circle.

Answer 2

Answer: x < 5, see attached for the graph.

Explanation:

To solve, we will isolate the variable.

Given:

5x - 15 < 10

Add 15 to both sides of the equation:

5x < 25

Divide both sides of the equation by 5:

x < 5

For the graph, we will use an open circle because this is only less than (<), not less than and equal to.

Then, since x is all values less than 5, we will shade our arrow to the left of 5. See attached.