Asked by victoria
how do you solve and graph 7x-7>x-1
Answers
Answered by
mathhelper
7x-7>x-1
As long as you add or subtract terms from each side, the method is
the same as if you had an equation ...
add 7 to both sides
7x > x-1 + 7
7x > x + 6
subtract x from both sides
7x - x > 6
6x > 6
The next step is crucial. If you multiply or divide both sides by a negative
the inequality sign must be <b>reversed</b>
since we are going to divide both sides by 6, it stays the same
x > 1
Usually that last procedure does not happen till the very end, like here
As long as you add or subtract terms from each side, the method is
the same as if you had an equation ...
add 7 to both sides
7x > x-1 + 7
7x > x + 6
subtract x from both sides
7x - x > 6
6x > 6
The next step is crucial. If you multiply or divide both sides by a negative
the inequality sign must be <b>reversed</b>
since we are going to divide both sides by 6, it stays the same
x > 1
Usually that last procedure does not happen till the very end, like here