Linear inequalities in one variable
Equations and inequalities · Mathematics
Study notes
Q: Solve (a) 3x - 5 < 7 (b) -2x + 4 >= 10 (c) (x + 2)/3 < 5. (a) 3x < 12, so x < 4. Interval: (-infinity, 4). (b) -2x >= 6. Divide by -2, FLIP: x <= -3. Interval: (-infinity, -3]. (c) Multiply by 3: x + 2 < 15, so x < 13.