Question

Solve the inequality -5x/7-2>-1
1.x<4.2
2.x>4.2
3.x<-1.4
4.x>-1.4

Answer 1

-5 x / 7 - 2 > - 1 Multiply both sides by - 1

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Remark :

When you multiply or divide each side of the inequality by a negative number, you have to reverse the inequality symbol.
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5 x / 7 + 2 < 1 Subtract 2 to both sides

5 x / 7 + 2 - 2 < 1 - 2

5 x / 7 < - 1 Multiply both sides by 7

5 x * 7 / 7 < - 1 * 7

5 x < - 7 Divide both sides by 5

5 x / 5 < - 7 / 5

x < - 7 / 5

x < - 1.4

Ansver 3

Answer 2

-5x/7 - 2 > -1
Solve for x like a normal equation:
-5x/7 > -1 + 2
-5x/7 > 1
-5x > 7
-x > 7/5
Now, when you multiply both sides by a negative number (in this case, it's -1), the inequality sign changes to opposite:
x < -7/5
x < -1.4

Or if that's not very clear, you can transpose them or change the positions of -x and 7/5. Put the one on the left to the right, and the right to the left:
-x > 7/5
-7/5 > x
-1.4 > x
Notice that this is the same with the first inequality we got above, since the inequality sign still points to x.

hope this helps~ `u`