MATH SOLVE

4 months ago

Q:
# Which represents the solution set to the inequality 5.13 + 2.2x > –14.25 – 61.7x + 4? Ax < –2.5Bx > 2.5C–2.5, ∞D–∞, 2.5

Accepted Solution

A:

1. Simplify the inequality \( 5.1(3 + 2.2x) > -14.25 - 6(1.7x + 4):\)\( 15.3+11.22x>-14.25-10.2x-24,\\ 15.3+11.22x>-10.2x-38.75. \)2. Separate terms with x and without x in different sides:\( 11.22x+10.2x>-38.75-15.3.\)3. Add similar terms:\( 21.42x>-54.05. \)4. Divide by 21.42:\( x>-\dfrac{54.05}{21.42} ,\\ \\x>-2.5. \)Answer: correct choice is C.