-10x-7 < 13
+7 +7 ---Add 7 to both sides
-10x < 20
-(-10x < 20) --Times everything by a minus. This switches the < sign to a > sign though.
10x > -20
÷10 ÷10 ---Divide both sides by 10.
x > -2
This is saying that x could equal anything above -2.
Let's test it by putting in a number that is larger than -2 for x. I'll use 6.
-10(6)-7<13
-60-7 < 10
-67 < 10 ✔
At first glance, -67 might look bigger than 10, but we have to remember the negative sign before the 67.
So -67 is smaller than 10, and it works.
-10x-7 < 13
+7 +7 ---Add 7 to both sides
-10x < 20
-(-10x < 20) --Times everything by a minus. This switches the < sign to a > sign though.
10x > -20
÷10 ÷10 ---Divide both sides by 10.
x > -2
This is saying that x could equal anything above -2.
Let's test it by putting in a number that is larger than -2 for x. I'll use 6.
-10(6)-7<13
-60-7 < 10
-67 < 10 ✔
At first glance, -67 might look bigger than 10, but we have to remember the negative sign before the 67.
So -67 is smaller than 10, and it works.