Absolute value inequalities are not that simple! You can't simply just ignore them.
\(|0.7x+5|>6.7\) | The absolute value always splits your answer into the positive and negative answer. | ||
| Now that the absolute value has been accounted for, we should now solve for x in both equations. | ||
| Dividing by -1 causes a flipflop of the inequality sign. | ||
| Subtract 50 on both sides. | ||
| Divide by 7 on both sides. | ||
| |||
This is your answer. Since the greater than symbol will cause an "or" statement, we know that solutions are the following:
\(x>\frac{17}{7}\hspace{1mm}\text{or}\hspace{1mm} x<-\frac{117}{7}\)
|0.7x+5|>6.7 Remove the absolute value
0.7x + 5 > 6.7 subtract 5 from both sides
0.7x > 1.7 divide both sides by 0.7
x > 2.42857
Absolute value inequalities are not that simple! You can't simply just ignore them.
\(|0.7x+5|>6.7\) | The absolute value always splits your answer into the positive and negative answer. | ||
| Now that the absolute value has been accounted for, we should now solve for x in both equations. | ||
| Dividing by -1 causes a flipflop of the inequality sign. | ||
| Subtract 50 on both sides. | ||
| Divide by 7 on both sides. | ||
| |||
This is your answer. Since the greater than symbol will cause an "or" statement, we know that solutions are the following:
\(x>\frac{17}{7}\hspace{1mm}\text{or}\hspace{1mm} x<-\frac{117}{7}\)