Question

Select the graph that represents the solution of the compound inequality –6 ≤ 4x + 6 < 14. A number line from negative 5 to 5 in increments of 1. A point is at 0 and a bold line is drawn to the right stopping at the open circle at 2. A number line from negative 5 to 5 in increments of 1. A point is at negative 5 and a bold line is drawn to the right stopping at the open circle at 3. A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 5. A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.

1. Philomena
The graph that represents the solution to the compound inequality –6 ≤ 4x + 6 < 14 is given as follows:
A number line from negative 5 to 5 in increments of 1. A point is at negative 3 and a bold line is drawn to the right stopping at the open circle at 2.

### How to solve the inequality?

The inequality for this problem is defined as follows:
–6 ≤ 4x + 6 < 14.
This means that two conditions have to be satisfied.
The first condition is given as follows:
–6 ≤ 4x + 6
That is:
4x + 6 ≥ -6
4x ≥ -12
x ≥ -3.
The second condition is given as follows:
4x + 6 < 14
4x < 8
x < 2.
The intersection of these two conditions is composed by the values between -3 and 2, with a closed interval at -3 and an open interval at 2.
This means that the last option is the correct option.
More can be learned about inequalities at https://brainly.com/question/25275758
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