The answer to the inequality is x 2.5. This solution is best represented by the number line -6 -5 -4 -3 -2 -1 0 1.
The inequality provided is -4x + 29 > 19.
To determine the answer, we must first isolate the variable x. To begin, subtract 29 from each side: -4x > 19 - 29 = -10.
Then, divide both sides by -4, remembering to invert the inequality sign due to the negative number: x < -10/-4 = 5/2 = 2.5.
As a result, the solution to the inequality is x 2.5. The third option is the best number line to represent this solution: -6 -5 -4 -3 -2 -1 0 1. This line displays all numbers that are less than 2.5.
Complete question:
Which number line best represents the solution to the inequality -4x + 29 >19?
O
||| le +
-6-5-4-3-2-1 0 1 2
<
-6-5-4-3 -2 -1 0 1
|
-6 -5 -4 -3 -2 -1 0 1
<||||| |
-6 -5 -4 -3 -2 -1
2
3
lol
|
H
0 1 2
|
3 4
4 5 6
|
2 3 4 5 6
13
工
5 6
5-5
3 4 5 6