what is the solution 7x + 5 - 3x > -15 a.x_> -5 b. x_<-5 c.x_> 5 d. -5<x _<5
To find the solution to the inequality 7x + 5 - 3x > -15, we need to isolate the variable x on one side of the inequality sign.
Step 1: Combine like terms. On the left side, we have 7x - 3x which equals 4x.
The inequality becomes 4x + 5 > -15.
Step 2: Move the constant term to the opposite side of the inequality sign. Subtract 5 from both sides:
4x > -15 - 5
4x > -20
Step 3: Divide both sides by the coefficient of x (which is 4 in this case). Be careful to consider the sign of the inequality:
x > -20/4
x > -5
Therefore, the solution to the inequality 7x + 5 - 3x > -15 is x > -5.
So, the correct answer is a) x ≥ -5.