The number line which shows the solution set to the given inequality is: number line B.
A number line can be defined as a type of graph with a graduated straight line which comprises numerical values (both positive and negative numbers) that are placed at equal intervals along its length.
Now, we would solve the given inequality:
½(20x + 6) ≥ x + 30
10x + 3 ≥ x + 30
10x - x ≥ 30 - 3
9x ≥ 27
x ≥ 3.
Therefore, the number line which shows the solution set to the given inequality is a number line with 0, 1, 2, 3, 4, 5, 6 in which a circle from 3 extends to the right, with an arrow at the end.
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Complete Question:
Which number line shows the solution set to this inequality? ½(20x + 6) ≥ x + 30