How do I solve this equivalent equation? 5x +2 < 17 (again the <is underlined)
Do I subtract 2 from each side so it would read 5x < 15 (again the < is underlined) than divide each side by 5 so the x < 3 (again the <is underlined) is the answer? Also, how do I show this on a line number bar?
Yes! You got it! If you check back with my line explanation, since it is underlined, you darken in the circle and draw in a line for every number less than 3
Yes, to solve the given equivalent equation 5x + 2 < 17, you can start by subtracting 2 from each side. This yields 5x < 15.
Next, to isolate the variable x, you divide both sides of the inequality by 5. This gives you x < 3 as the solution.
To represent this solution on a number line, you can draw a line and mark the number 3 with an open circle. Then, since the solution is "x is less than 3," you shade the line to the left of the number 3 to indicate all the values that satisfy the inequality.
Here's how you can show this on a number line (also known as a line number bar):
1. Draw a straight line.
2. Label the number 3 on the line with an open circle.
3. Shade the line to the left of the number 3.
The shaded region on the left side of the number 3 represents the values of x that satisfy the inequality x < 3.