Answer: x > [tex]\frac{1}{7}[/tex]
Step-by-step explanation:
To solve, we will isolate the variable x.
Given:
-4x + 7 < 3(2 + x)
Distribute the 3:
-4x + 7 < 6 + 3x
Subtract 7 from both sides of the equation:
-4x < -1 + 3x
Subtract 3x from both sides of the equation:
-7x < -1
Divide both sides of the equation by -7:
➜ Since we are dividing by a negative number, we flip the direction of the sign.
x > [tex]\frac{1}{7}[/tex]
