- 3x < - 6 and x - 4 <4
Select the correct choice below and, if necessary, fill in the answer boxes) to complete your choice.
• A. The solution is x> or X <
• B. The solution is x>
O c. The solution is x<
• D. The solution is
<X<
•E. The solution is all real numbers.
• F. There is no solution.
To solve the inequality -3x < -6, we need to divide both sides by -3. However, since we are dividing by a negative number, the inequality sign will flip. Dividing both sides by -3 yields x > 2.
To solve the inequality x - 4 < 4, we need to add 4 to both sides. This gives us x < 8.
So the correct solution is x > 2 and x < 8. This can be re-written as 2 < x < 8.
Therefore, the correct choice is D. The solution is 2 < x < 8.