what is a correct first step in solving the inequality –4(3 – 5x)≥ –6x 9? –12 – 20x ≤ –6x 9 –12 – 20x ≥ –6x 9 –12 20x ≤ –6x 9 –12 20x ≥ –6x 9
The answer is -12 + 20x ≥ –6x 9. The inequality is –4(3 – 5x)≥ –6x 9. The first step is to multiply factors on the left side. The intermediary steps are: (-4)(3) - (-4)(5x) ≥ –6x 9. -12 - (-20x) ≥ –6x 9. So, the first step will be: -12 + 20x ≥ –6x 9.
Answer:
The correct option is 4.
Step-by-step explanation:
The given inequality is
\(-4(3-5x)\geq -6x+9\)
Use BODMAS and solve the brackets first.
Using distributive property, the given inequality can be written as
\(-4(3)-4(-5x)\geq -6x+9\)
\(-12+20x\geq -6x+9\)
The first step in solving the given inequality is
\(-12+20x\geq -6x+9\)
Therefore option 4 is correct.