Solve the inequality -5x/7-2>-1
1.x<4.2
2.x>4.2
3.x<-1.4
4.x>-1.4
-5 x / 7 - 2 > - 1 Multiply both sides by - 1
_______________________________________
Remark :
When you multiply or divide each side of the inequality by a negative number, you have to reverse the inequality symbol.
______________________________________
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
-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`
To solve the inequality -5x/7 - 2 > -1, we can follow these steps:
Step 1: Move the constant term to the right side of the inequality:
-5x/7 - 2 > -1 + 2
-5x/7 > 1
Step 2: Multiply both sides of the inequality by -7 to eliminate the fraction and reverse the inequality sign (since we are multiplying by a negative number):
-7 * (-5x/7) > -7 * 1
x < -7
So, the correct answer is 3. x < -7.