Answer: "a" must be less than or equal to -6/5 for the inequality to be true.
Explanation:
The inequality you provided is:
a >= a(7 - 1) + 6
First, let's simplify the right-hand side of the inequality:
a(7 - 1) is equal to 6a, as 7 - 1 = 6.
So, the inequality becomes:
a >= 6a + 6
Next, we'll subtract 6a from both sides of the inequality to isolate "a" on one side:
a - 6a >= 6
This gives us:
-5a >= 6
Now, to solve for "a," we need to divide both sides of the inequality by -5. However, when you divide by a negative number, remember that the direction of the inequality is reversed:
a <= -6/5
Therefore, the solution to the inequality is:
a <= -6/5
This means that "a" must be less than or equal to -6/5 for the inequality to be true.