Question

(15x÷4)<5(5x-2) - 3 (7x-3) find x?​

Answer 1

ANSWER

3

5x−2

−

5

7x−3

>

4

x

⇒

15

5(5x−2)−3(7x−3)

>

4

x

⇒

15

25x−10−21x+9

>

4

x

15

4x−1

>

4

x

⇒4(4x−1)>15x

[Multiplying both sides by 60 i.e. Lcm of 15 and 4]

16x−4>15x ⇒16x−15x>4[Transposing 15 x to LHS and -4 to RHS]

x > 4 ⇒x∈(4,∞)

Hence the solution set of the given inequation is (4,∞) This can be graphed on the real number line as shown in figure