Let fx 7 3x and gx 2x 3 Find all values of x for which f

Let f(x) = 7 - 3x and g(x) = 2x - 3. Find all values of x for which f(x)

37. We have f(x) = 7 – 3x and g (x) = 2x – 3. If f(x) g(x), then 7 – 3x 2x – 3 0r, 7 + 3 2x + 3x or, 10 5x

0r, 2 x i.e. x 2.

38. f(x ) = 8x – 9 and g (x) = 3x – 11. If f(x) g(x), then 8x - 9 3x – 11 or, 8x – 3x 9 – 11 or, 5x -2

or, x - 2/5

39. y₁ = 2x – 7 and y₂ = 5x – 9 . If y₁ < y₂ , then 2x – 7 < 5x – 9 or, 9 – 7 < 5x + 2x or, 2 < 7x or 7x > 2 or,

x > 2/7

40. y₁ = 2x + 1 and y₂ = ( -1/2)x +6 . If y₁ < y₂ then 2x + 1 < ( -1/2)x + 6 or, ( 2 + ½) x < 6 – 1 or, 5/2 x < 5

Or, x < 2 (on multiplying both the sides by 2/5)