If 5x−4≤2−x and 4x+5>2x−5, then x can take which of the following values?
- A3
- B6
- C-7
- D-1
Solution & Step-by-step Explanation
Solve the first inequality:
5x−4≤2−x
5x+x≤2+4
6x≤6
x≤1
Solve the second inequality:
4x+5>2x−5
4x−2x>−5−5
2x>−10
x>−5
Combining both conditions, we find the range for x:
−5From the options, only −1 lies within this interval (−5,1].
5x−4≤2−x
5x+x≤2+4
6x≤6
x≤1
Solve the second inequality:
4x+5>2x−5
4x−2x>−5−5
2x>−10
x>−5
Combining both conditions, we find the range for x:
−5