Which are correct representations of the inequality 6x > 3 + 4(2x - 1)? Select three options.
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Answer:
Option 1,2, and 3
Step-by-step explanation:
Given : Inequality [tex]6x \geq 3 + 4(2x - 1)[/tex]
To find : Which are correct representations of the inequality?
Solution :
Inequality [tex]6x \geq 3 + 4(2x - 1)[/tex]
Solving the inequality by opening the bracket,
[tex]6x \geq 3 +8x -4[/tex]
Option 2 is correct.
[tex]6x \geq 8x -1[/tex]
[tex]1\geq 8x -6x[/tex]
[tex]1\geq 2x[/tex]
Option 1 is correct.
[tex]\frac{1}{2}\geq x[/tex]
[tex]x\leq \frac{1}{2}[/tex]
[tex]x\leq 0.5[/tex]
A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
Option 3 is correct.
Therefore, Option 1,2, and 3 is correct.