problem -2 x + 7 < 10

Answer x > -3/2

almost use this sign => in the answer.

Did I use the wrong sign

So my answer should be x < -3/2

To solve the inequality -2x + 7 < 10, you can follow these steps:

Step 1: Subtract 7 from both sides of the inequality to isolate the term with x:
-2x + 7 - 7 < 10 - 7
-2x < 3

Step 2: Divide both sides of the inequality by -2. Since we are dividing by a negative number, the direction of the inequality sign will change:
-2x / -2 > 3 / -2
x > -3/2

So, the solution to the inequality is x > -3/2.

You can also visualize this on a number line. Start by marking a point at -3/2 and shading to the right of it. This represents all the values that make the inequality true.