Answer:
- 10
Step-by-step explanation:
Given
3(x - 4) ≥ 5x + 2 ← distribute left side
3x - 12 ≥ 5x + 2 ( subtract 3x from both sides )
- 12 ≥ 2x + 2 ( subtract 2 from both sides )
- 14 ≥ 2x ( divide both sides by 2 )
- 7 ≥ x ⇒ x ≤ - 7
The only value from the list that is in the solution set is
x = - 10
The value of x is -10
The correct option is (A)
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
Given expression:
3(x - 4) ≥ 5x + 2
Using distributive law,
3x - 12 ≥ 5x + 2
- 12 ≥ 2x + 2 ( subtract 2 from both sides )
- 14 ≥ 2x ( divide both sides by 2 )
- 7 ≥ x
x ≤ - 7
Hence, x is less than and equal -7 so the only solution is -10
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