Answer:
x < 1/2 or x < - 4/3
Step-by-step explanation:
Here, the given expression is:
-( 2 x - 1) ( 3 x + 4 ) > 0
⇒ ( 2 x - 1) ( 3 x + 4 ) < 0
Now, it implies: ( 2 x - 1) < 0 or ( 3 x + 4 ) < 0
Case 1: ( 2 x - 1) < 0
⇒2 x -1 + 1 < + 1 ( adding 1 on both sides)
or, 2 x < 1
Now, divide both sides by 2, we get:
or x < 1/2
Case 2: (3 x + 4) < 0
⇒ 3 x + 4 - 4 < - 4 ( adding (-4) on both sides)
or, 3 x < - 4
Now, divide both sides by 3, we get:
x < -4 / 3
Hence, x is either LESS THAN 1/2 or x is LESS THAN - 4/3
