What is the solution to the inequality -3x-42>3?
-3x-42>3
collect like terms
-3x>3+42
-3x>45
divide both sides by -3
-3x/-3>45/-3
x<45/-3(at this point d sign changes because of the -)
x<-15
To solve the inequality -3x - 42 > 3, we need to isolate the variable x.
Step 1: Add 42 to both sides of the inequality to eliminate the constant term on the left side:
-3x - 42 + 42 > 3 + 42
-3x > 45
Step 2: Divide both sides of the inequality by -3. Since we divide by a negative number, the direction of the inequality sign will change:
-3x / -3 < 45 / -3
x < -15
So, the solution to the inequality -3x - 42 > 3 is x < -15.