Final answer:
To evaluate the inequality -173 is greater than or equal to 7(-6x-3) + 4x, we substitute the given values of x and check if it holds true. None of the answer options satisfy the inequality.
Step-by-step explanation:
To evaluate the inequality -173 is greater than or equal to 7(-6x-3) + 4x, we will substitute the given values of x in the inequality and check if it holds true. Let's evaluate each option:
- a) x ≥ -7.4:
-173 ≥ 7(-6(-7.4)-3) + 4(-7.4)
-173 ≥ 7(44.4-3) - 29.6
-173 ≥ 7(41.4) - 29.6
-173 ≥ 289.8 - 29.6
-173 ≥ 260.2 - b) x ≤ -7.4:
-173 ≥ 7(-6(-7.4)-3) + 4(-7.4)
-173 ≥ 7(44.4-3) - 29.6
-173 ≥ 7(41.4) - 29.6
-173 ≥ 289.8 - 29.6
-173 ≥ 260.2 - c) x ≥ 7.4:
-173 ≥ 7(-6(7.4)-3) + 4(7.4)
-173 ≥ 7(-44.4-3) + 29.6
-173 ≥ 7(-47.4) + 29.6
-173 ≥ -331.8 + 29.6
-173 ≥ -302.2 - d) x ≤ 7.4:
-173 ≥ 7(-6(7.4)-3) + 4(7.4)
-173 ≥ 7(-44.4-3) + 29.6
-173 ≥ 7(-47.4) + 29.6
-173 ≥ -331.8 + 29.6
-173 ≥ -302.2
None of the options satisfy the inequality, therefore the correct answer is none of the given options.