Final answer:
To solve the inequality -1 > -2(x - 4) - 5(4x - 7), distribute the negatives, combine like terms, and then isolate the variable. After simplifying, the solution is x > 2, assuming there is a typo in the provided options.
Step-by-step explanation:
To solve the inequality -1 > -2(x - 4) - 5(4x - 7), we first distribute the negative numbers across the parentheses:
-1 > -2x + 8 - 20x + 35
Then, we combine like terms:
-1 > -22x + 43
Next, we isolate the variable term by moving constants to the other side:
-1 - 43 > -22x
-44 > -22x
Now, divide both sides by -22, and remember to reverse the inequality sign when dividing by a negative number:
2 < x
So, the solution to the inequality is x > 2, which corresponds to choice B) x < 2, assuming there is a typo in the options and they meant to say B) x > 2.