Answer:
Explanation:
To solve the inequalities 2x - 15 < -0.8 and 2x - 15 > 0.8, we will solve them separately and then combine the solutions.
First, let's solve the inequality 2x - 15 < -0.8:
2x - 15 < -0.8
Add 15 to both sides:
2x < 14.2
Divide both sides by 2 (since the coefficient of x is 2 and it is positive, we don't need to flip the inequality symbol):
x < 7.1
Now, let's solve the inequality 2x - 15 > 0.8:
2x - 15 > 0.8
Add 15 to both sides:
2x > 15.8
Divide both sides by 2:
x > 7.9
So, the solutions to the inequalities are:
x < 7.1 and x > 7.9
To write these solutions in interval notation, we can express them as separate intervals and then combine them using the union symbol (∪):
Interval 1: (-∞, 7.1)
Interval 2: (7.9, +∞)
Combining these intervals, the solution in interval notation is:
(-∞, 7.1) ∪ (7.9, +∞)