Solve the following inequality using both the graphical and algebraic approach: 0.5 x + 3 greater-than-or-equal-to 2 x minus 1.5
2 answers:
Answer:
d. x les-than-or-equal-to 3 Graph B
Graph B expressed as follows; The graph on the coordinate plane, a line goes through (0, 3) and (4, 5). Another line goes through (1, 0.5), and (4, 6.5). The lines intersect at (3, 4.5)
Step-by-step explanation:
The given inequality is expressed as follows;
0.5·x + 3 ≥ 2·x - 1.5
Let y₁ = 0.5·x + 3, and y₂ = 2·x - 1.5, we get;
For x = -1, 0, 1, 2, 3, 4, 5, 6
y₁ = 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6
y₂ = -3.5, -1.5, 0.5, 2.5, 4.5, 6.5, 8.5, 10.5
From the given data, the lines intersect at (3, 4.5)
The graph on the coordinate plane, a line goes through (0, 3) and (4, 5). Another line goes through (1, 0.5), and (4, 6.5). The lines intersect at (3, 4.5)
Please find attached the required inequality created with MS Excel
Therefore, we have;
3 + 1.5 ≥ 2·x - 0.5·x
4.5 ≥ 1.5·x
∴ 3 ≥ x
x ≤ 3
Therefore, with (typographical) correction, the best option is x les-than-or-equal-to 3 Graph B
You might be interested in
Replace f(x) and g(x) with what they equal:
Combine like terms:
The answer is C.
Combine like terms:
The answer is C.