Answer:
The answer is x < -4.
Step-by-step explanation:
Step 1: Subtract 2x from both sides.
[tex] - 2 > 4x + 6 - 2x[/tex]
Step 2: Simplify -2 > 4x + 6 - 2x to 2x + 6.
[tex] - 2 > 2x + 6[/tex]
Step 3: Subtract 6 from both sides.
[tex] - 2 - 6 > 2x[/tex]
Step 4: Simplify -2 - 6 to -8.
[tex] - 8 > 2x[/tex]
Step 5: Divide both sides by 2.
[tex] - \frac{8}{2} > x[/tex]
Step 6: Simplify 8/2 to 4.
[tex] - 4 > x[/tex]
Step 7: Switch sides.
[tex]x < - 4[/tex]
Thus, the answer is x < -4.
