*Describe your graphs using words.
2x > -6 and x - 4 < 3
You have to solve for x.
x>= -3 and x<=7
Doesnt the line segment start at -3 and end at x=7?
To solve the inequalities 2x > -6 and x - 4 < 3 and find the values of x that satisfy both inequalities, you need to follow these steps:
1. For the inequality 2x > -6:
- Divide both sides of the inequality by 2 to isolate the x variable: x > -3.
2. For the inequality x - 4 < 3:
- Add 4 to both sides of the inequality to isolate the x variable: x < 7.
Combining the two inequalities, we can conclude that x is greater than or equal to -3 (x >= -3) and less than or equal to 7 (x <= 7).
The line segment that represents these inequalities starts at x = -3 and ends at x = 7. The inequality x >= -3 means that x can take any value greater than or equal to -3, while x <= 7 means that x can take any value less than or equal to 7. Together, these two inequalities define a range of values for x, represented by the line segment starting from -3 and ending at 7.