solve and check the inequality.

Question

-7(3x-7)+21>50.

Answer 1

The inequality is - 7(3x - 7) + 21 > 50

Subtract 21 from each side.

- 7(3x - 7) > 50 - 21

- 7(3x - 7) > 29

Divide each side by negative 7 and flips the symbol.

3x - 7 < - 29/7

Add 7 to each side.

3x < (- 29/7) + 7

Apply L.C.M rule : (1/a) + (1/b) = (b + a)/ab.

3x < (- 29 + 49)/7

3x < 20/7

Divid eeach side by 3.

x < 20/21.

Solutoin set of the inequality is {x/x : x < 20/21}.