Solve the equation|2x+10|>26 answers are x<-36or x>16,, x>-18or x<8, x<-18or x>8,x<-8or x>8
2x + 10 >26
x > 8
2x + 10 > -26
x > -8
x > -8 or x > 8
To solve the equation |2x + 10| > 26, we can break it down into two separate inequalities and solve each of them individually.
First, we will consider the case when 2x + 10 is positive:
When 2x + 10 > 26, we can subtract 10 from both sides to isolate the variable:
2x + 10 - 10 > 26 - 10
2x > 16
Dividing both sides by 2, we get:
x > 8 (Inequality 1)
Next, we will consider the case when 2x + 10 is negative:
When -(2x + 10) > 26 (multiplying by -1 to change the sign), we need to be careful. Since the expression inside the absolute value becomes negative, the inequality sign will flip.
-(2x + 10) > 26
-2x - 10 > 26 (Note the flipped inequality sign)
Adding 10 to both sides:
-2x > 36
Dividing both sides by -2, remembering to flip the inequality sign when dividing by a negative number:
x < -18 (Inequality 2)
Combining the two solutions, we have:
x > 8 or x < -18
Therefore, the correct answer is:
x > 8 or x < -18