If 4x−73
2
≥3x+1, then x can take which of the following values?
2
≥3x+1, then x can take which of the following values?
- A2
- B-1
- C-2
- D1
Solution & Step-by-step Explanation
Let's solve the first inequality:
4x−74x−x<−2+7
3x<5
x<
3
5
≈1.67
Now, let's solve the second inequality:
5x+
3
2
≥3x+1
5x−3x≥1−
3
2
2x≥
3
1
x≥
6
1
≈0.167
Combining both conditions:
6
1
≤x<
3
5
Among the given options (2,−1,−2,1), only 1 lies within the range [0.167,1.67).
4x−7
3x<5
x<
3
5
≈1.67
Now, let's solve the second inequality:
5x+
3
2
≥3x+1
5x−3x≥1−
3
2
2x≥
3
1
x≥
6
1
≈0.167
Combining both conditions:
6
1
≤x<
3
5
Among the given options (2,−1,−2,1), only 1 lies within the range [0.167,1.67).