#2**+1 **

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:

\(x>\frac{17}{7}\hspace{1mm}\text{or}\hspace{1mm} x<-\frac{117}{7}\)

TheXSquaredFactor
Sep 22, 2017

#1**0 **

|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

Guest Sep 22, 2017

#2**+1 **

Best Answer

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:

\(x>\frac{17}{7}\hspace{1mm}\text{or}\hspace{1mm} x<-\frac{117}{7}\)

TheXSquaredFactor
Sep 22, 2017