Question

-5x + 3 > (-7x) - 12

Answer 1

Solve the inequality

-5x + 3 > (-7x) - 12

We want to move the variables to the left side and the numbers to the right side. The (-7x) can be eliminated from the right side by adding 7x on both sides.

Add 7x to both sides:

-5x + 3 + 7x > -12

We need to move the 3 from the left to the right side. So we subtract 3

Subtract 3 to both sides:

-5x + 7x > -12 - 3

Joining like terms:

2x > -15

Solving:

x > -15/2

The solution is every real number greater than -15/2

In interval notation, it can be written as:

`\mleft(-15/2,+\infty\mright)`

The left parentheses are used because the endpoint is not included in the solution

If the endpoint was included, we'd use a bracket [