We can actually deduce here that the correct first step in solving the inequality –4(2x – 1) > 5 – 3x is: A. Distribute –4 to get –8x + 4 > 5 – 3x.
What is inequality?
An inequality refers to the relationship that exist between two expressions that shows that they are not equal to each other. The signs used in an inequality are:
- ≠ ‘not equal to’,
- > ‘greater than’,
- < ‘less than’, etc.
We see here that the first step is to use -4 to multiply the digits in the bracket. If that happens, we will have: –8x + 4 > 5 – 3x.
Then solving the inequality:
-8x + 3x > 5 - 4
-5x > 1
x < -1/5
Thus, we see that option B: Distribute –4 to get –8x + 4 > 5 – 3x. is the correct answer.
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