11. Solve the in equality: (3mks)

2x – 1 ≤ 3x + 4 < 7 – x

1 answer

To solve the inequality 2x - 1 ≤ 3x + 4 < 7 - x, we will break it down into two separate inequalities:

1) 2x - 1 ≤ 3x + 4
Rearranging the terms, we get:
-x ≤ 5
Multiplying both sides by -1 (and flipping the inequality sign), we get:
x ≥ -5

2) 3x + 4 < 7 - x
Rearranging the terms, we get:
4x < 3
Dividing both sides by 4, we get:
x < 3/4

Combining the two inequalities, we find:
-5 ≤ x < 3/4
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