Solve. write the solution set using interval notation
9-(7x-9)is greater than or equal to sign -8(x+1)-8
9-(7x-9)¡Ý-8(x+1)-8
i was trying to put the signs in for this question but id didn't work so i wrote it out in word form in the first part
To solve the inequality 9 - (7x-9) ≥ -8(x+1) - 8, we will simplify each side and solve for x.
First, distribute the negative sign and the 8:
9 - 7x + 9 ≥ -8x - 8 - 8
Combine like terms:
18 - 7x ≥ -8x - 16
Next, move all terms involving x to one side:
-7x + 8x ≥ -16 - 18
x ≥ -34
So the solution to the inequality is x ≥ -34.
In interval notation, since there is no upper bound for x, we express the solution as:
[-34, ∞)