Question

The solution set of the in equation x +2 > 0 and 2x – 6 > 0 is

(a) (–2,∞)

(b) (3 ,∞)

(c) (-∞, 2)

(d) (-∞, -2)​

Answer 1

Answer:

Option (b)

Step-by-step explanation:

x+2>0

x>-2---(1)

2x-6>0

2x>6

x>3----(2)

From (1) and (2)

x>3

Answer 2

Answer:

B. (3, ∞)

X>-2

X>3

Step-by-step explanation:

Isolate x on one side of the equation.

x+2>0

x+2-2>0-2 (First, subtract 2 from both sides.)

0-2 (Solve.)

0-2=-2

x>-2

2x-6>0

2x-6+6>0+6 (Add 6 from both sides.)

0+6 (Solve.)

0+6=6

2x>6

2x/2>6/2 (Then, divide by 2 from both sides.)

6/2 (Solve.)

6/2=3

x>3

As a result, the correct answer is B. (3,∞).