To solve the inequality, we first simplify both sides:
5(x - 3) - 6(x - 2) > 8x + 2
5x - 15 - 6x + 12 > 8x + 2
-x - 3 > 8x + 2
Next, we want to isolate the variable, so we'll combine like terms:
-7x - 3 > 8x + 2
Now, we'll move the variable terms to one side and the constant terms to the other side:
-7x - 8x > 2 + 3
-15x > 5
To solve for x, we need to divide both sides by -15. However, we must be careful because we are dividing by a negative number. This means that the inequality sign will flip.
x < 5/15
Simplifying the right side gives:
x < 1/3
So the solution to the inequality is x < 1/3.
The correct answer is B. x < 5/9.
Solve for x.
5(x − 3) − 6(x − 2) > 8x + 2
Responses
A x > 59
x > 5 9
B x < 5/9
x < 5 9
C x > −5/9
x > − 5 9
D x < −5/9
x < − 5 9
E x > −9/5
1 answer