Solve the inequality. Write the solution set in interval notation.

2 (5 - x) ≤ 5 (x - 5)

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.