1) 5x - 15 > Add 15 to both sides 5x > 1 Divide by 5 x > 3
2) 6(x+1) > 5x + Expand the left side 6x + 6 > 5x + Subtract 5x from both sides x + 6 > Subtract 6 from both sides x > -3
So the solution to the inequalities is x > 3 and x > -3. However, the second inequality x > -3 is not necessary as it is already included in x > 3. So the final solution is x > 3.
To solve the inequalities:
1) 5x - 15 >
Add 15 to both sides
5x > 1
Divide by 5
x > 3
2) 6(x+1) > 5x +
Expand the left side
6x + 6 > 5x +
Subtract 5x from both sides
x + 6 >
Subtract 6 from both sides
x > -3
So the solution to the inequalities is x > 3 and x > -3. However, the second inequality x > -3 is not necessary as it is already included in x > 3. So the final solution is x > 3.