-5x + 1 > x + 5
Subtract x from both sides:
-6x + 1 > 5
Subtract 1 from both sides:
-6x > 4
Divide by -6 (remember to reverse the inequality sign since we are dividing by a negative number):
x < -4/6 or x < -2/3
Therefore, the solution to the inequality is x < -2/3.
-5x + 1 > x + 5
Subtract x from both sides:
-6x + 1 > 5
Subtract 1 from both sides:
-6x > 4
Divide by -6 (remember to reverse the inequality sign since we are dividing by a negative number):
x < -4/6 or x < -2/3
Therefore, the solution to the inequality is x < -2/3.