How do I solve for this inequality?

Question

I need to solve for x.

 

5x+6 >/= -7/4x-1

Answer 1

5x + 6 ≥ (7/4)x - 1

 

 

Solving an inequality is no different from solving an equation. 

 

 

Subtract 5x on both sides of inequality.

 

6 ≥ (-13/4)x - 1

 

 

Add 1 on both sides of inequality.

 

7 ≥ (-13/4)x

 

 

Multiply both sides by -4/13.  This will allow us to have a positive x on one side of inequality.

 

-28/13 ≥ x

 

Next, we flip the sign of inequality because multiplying and dividing on the variable's side of inequality affects the solution due to negative signs.

 

-28/13 ≤ x

 

x ≥ -28/13