Question

Find the solution sets of the given inequality and represent it graphically.

$(a) \: \bf\frac{2x - 3}{ - 3} \geqslant \frac{1}{2}$

Answer 1

Given:

(2 x - 3 ) /( -3 ) ≥ 1/2

= > ( 2 x - 3) / ( 3 ) ≤ -1/2

= > 2 x - 3 ≤ -3/2

= >  2 x ≤ 3 - 3/2

= > 2 x ≤ ( 6 - 3 )/2

= > 2 x ≤ 3/2

= > x ≤ 3/4

Solution Set: x ≤ 3/4.

Interval( -∞, 3/4)

Answer 2

X is less than or equal to 3/4