Answer:
Solving [tex]8x+6\leq9x+12[/tex] we get [tex]\mathbf{x\geq -6}[/tex]
Option D is correct information.
Step-by-step explanation:
We need to solve [tex]2(4x+3)\leq 3(3x+4)[/tex]
Multiply the terms:
[tex]2(4x+3)\leq 3(3x+4)\\8x+6\leq9x+12[/tex]
Subtracting 6 from both sides
[tex]8x+6-6\leq9x+12-6\\8x\leq9x+6[/tex]
Subtracting 9x from both sides
[tex]8x-9x\leq 9x+6-9x\\-x\leq 6[/tex]
Divide both sides by -1 and reversing the inequality
[tex]x\geq -6[/tex]
So, solving [tex]8x+6\leq9x+12[/tex] we get [tex]\mathbf{x\geq -6}[/tex]
Option D is correct information.
