1. - 5(2x+2)is greater than or equal to -10x - 17 (1 point)
a)x is greater than or equal to 7
b)x is less than or equal to 19
c)all real numbers
d)no solution
i REALLY need some help with this. i HATE math! :(
- 5(2x+2) = -10x -10
-10x -17
-10x -10 > -10x -17
thanx :)
To solve the inequality -5(2x+2) ≥ -10x - 17, we can follow these steps:
1. Distribute the -5 to both terms inside the parentheses:
-10x - 10 ≥ -10x - 17
2. Simplify the equation by combining like terms:
-10x + 10x ≥ -17 + 10
3. The x-variable cancels out on both sides of the equation:
0 ≥ -7
4. Since 0 is always greater than or equal to any negative number, the inequality is true for all real numbers.
Therefore, the answer is:
c) all real numbers