Solve the inequality. Write the solution in set-builder notation. - 2(9x + 6) > - 12 - 18x Solve the inequality. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A (Type an inequality.) OB. The solution is all real numbers. c. There is no solution. Write the solution in set-builder notation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. \ x | Box\ (Type an inequality.) O B. \ x |x is an element of the set of all real numbers} O C. \ x |x is an element of the empty set}

1 answer

To solve the inequality, we can start by distributing -2 to the terms inside the parentheses:

-18x - 12 > -12 - 18x

Next, simplify both sides of the inequality:

-18x - 12 > -12 - 18x

-18x + 18x > -12 + 12

0 > 0

Since 0 is not greater than 0, the inequality is false. Therefore, there is no solution to the inequality.

The correct answer is: c. There is no solution.

In set-builder notation, we can represent this solution as:

\ x | x is an element of the empty set} (no elements satisfy the inequality)