Which graph represents the solution set of the compound inequality Negative 4 less-than-or-equal-to 3x minus 1 and 2 x + 4 less-
than-or-equal-to 18? A number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7.
A number line goes from negative 10 to positive 10. A closed circle appears at negative 7 and positive 1. The number line is shaded from negative 7 to positive 1.
A number line goes from negative 10 to positive 10. A closed circle appears at negative 1. The number line is shaded from negative 1 toward negative 10.
A number line goes from negative 10 to positive 10. A closed circle appears on positive 7. The number line is shaded from positive 7 toward positive 10.
A number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7.
Step-by-step explanation:
The set of compound inequality are - 4 ≤ 3x - 1 and 2x + 4 ≤ 18.
Now, - 4 ≤ 3x - 1
⇒ 3x ≥ - 3
⇒ x ≥ - 1
And, 2x + 4 ≤ 18
⇒ 2x ≤ 14
⇒ x ≤ 7
Therefore, the solution will be 7 ≥ x ≥ - 1
Hence, the graph that shows the solution is 'a number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7'. (Answer)
