To solve the inequality 5(x − 3) − 6(x − 2) > 8x + 2, we will simplify both sides of the equation.
On the left side:
5(x − 3) − 6(x − 2)
= 5*x - 5*3 - 6*x + 6*2
= 5x - 15 - 6x + 12
= -x - 3
On the right side:
8x + 2
Now we have the inequality: -x - 3 > 8x + 2.
To solve for x, we will isolate the variable x on one side. We can do this by adding x to both sides and subtracting 8x from both sides:
-x - 3 + x - 8x > 8x + 2 + x - 8x
-3 - 7x > 2
Next, we will add 7x to both sides:
-3 - 7x + 7x > 2 + 7x
-3 > 7x + 2
To isolate x, we can subtract 2 from both sides:
-3 - 2 > 7x + 2 - 2
-5 > 7x
Finally, we can divide both sides by 7 (and change the direction of the inequality):
-5/7 < x
Therefore, the solution to the inequality is x < -5/7.
D. x < -59
Solve for x.
5(x − 3) − 6(x − 2) > 8x + 2
Responses
A x > 59
x > 5 9
B x < 59
x < 5 9
C x > −59
x > − 5 9
D x < −59
x < − 5 9
E x > −95
1 answer