Which is equivalent to this expression
-4(-3x)+5(-7)
A. -12x + 35
B. 12x - 35
C. -7x + 12
D. 7x - 12
Which is equivalent to the inequality shown below?
X/2 </= -15
A. X >/= 7.5
B X </= 7.5
C X >/= -30
D X </= -30
B, D
To solve the first expression, -4(-3x) + 5(-7), we can apply the distributive property and simplify:
First, distribute -4 to -3x: -4 * (-3x) = 12x
Then, distribute 5 to -7: 5 * (-7) = -35
Therefore, the expression simplifies to 12x - 35.
So, the correct answer is option B, 12x - 35.
For the second question, x/2 ≤ -15, we can solve it by isolating x.
To eliminate the division by 2, we multiply both sides of the inequality by 2:
2 * (x/2) ≤ -15 * 2
x ≤ -30
Therefore, the equivalent inequality is x ≤ -30.
So, the correct answer is option D, x ≤ -30.