Question

Q3. Solve the inequality 1/3 * (2/5 * x + 1) >= 1/5 * (x + 4)
through wavy curve method​

Answer 1

Step-by-step explanation:

The given inequality is 24x < 100

=> x < 100/24

=> x < 25/6

(i) It is evident that 1, 2, 3, and 4 are the only natural numbers less than 25/6

Thus, when x is a natural number, the solutions of the given inequality are 1, 2, 3, and 4.

Answer 2

QUESTION : 1/3 ( 2/5 × x + 1 ) >= 1/5 ( x+4 )

ANSWER : 1/3 (2/5 × x + 1) >= 1/5 (x+4)

after opening the brackets

2x/15 + 1/3 >= x/5 + 4/5

making the bases of LHS same

2x/15 + 1×5/3×5 >= x/5 + 4/5

2x/15 + 5/15 >= x/5 + 4/5

2x+5/15 >= x + 4/5

5(2x+5)>= 15(x + 4)

10x +25 >= 15x +60

10x - 15x >= 60 - 25

-5x >= 35

x <=35/-5 (Note: when you multiply or divide a negative number to the next side, you need to change the inequality)

x<= -7