Answer:
x= ( 5,∞)
the set of numbers from 5 to infinity
Step-by-step explanation:
2(5-x)≤5(x-5) distribute
10 -2x ≤ 5x -25 rearrange to get x's on one side, constants on the other
10 + 25 ≤ 5x +2x Or -2x -5x ≤ -25 -10 add like terms
35 ≤ 7x Or -7x ≤ -35 if you have to divide by a negative number, flip the inequality sign ! see the logic: 35/7 is 5 ≤ x -35/-7 leaves x ≥ 5
Either way it means 5 is less than or equal to x
OR x is greater than or equal to 5
in interval notation, use the infinity symbol ∞ for all numbers ≥
so (5,∞)
or -∞ for all numbers less than.
