Question

Solve the following inequality. Write the solution set using interval notation.

- 2x +22-2
HER
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution set is
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer.)
O B. The solution set is Ø.

(Answer quickly)

Answer 1

`- 2x + 2 \geqslant - 2`

subtract 2 from either sides:

`( - 2x + 2) - 2 \geqslant - 2 - 2 \\ - 2x \geqslant - 4`

divide either sides by -2 [ division rule of equality ]

`( - 2x)/( - 2) \geqslant ( - 4)/( - 2) \\ \\{ \boxed{ \boxed{ x \leqslant 2}}}`