Question

Solve each of the following inequalities and
illustrate the solutions on a number line.

(b) 4x > 62
​

Answer 1

Answer:

x≥ -2/7

Step-by-step explanation:

x/2 ≥ (5x -2)/3 -( 7x -3)/5

take LCM in RHS

x/2 ≥ { 5(5x -2) - 3(7x -3)}/15

x/2 ≥ { 25x - 10 - 21x + 9}/15

x/2 ≥ (4x -1)/15

multiply 30 in both sides,

x/2 × 30 ≥ (4x -1)/15 × 30

15x ≥ 2(4x -1)

15x ≥ 8x -2

7x ≥ -2

x ≥ -2/7

e.g x €[ -2/7, -∞)

in number line : see attachment ! red part shows x≥ -2/7