First, you need to solve the inequalities.
[tex]4q\geq -16[/tex]
[tex]q\geq -4[/tex]
[tex]q+3<7[/tex]
[tex]q<4[/tex]
Now let's write the interval notation for the first one.
The lowest number for this would be -4. q cannot be less than negative -4. Since q can be -4 OR greater than, you use brackets. [-4,
q can be anything greater than -4. So the second number is infinity. Infinity uses parentheses because it is no exact number.
So the interval notation for the first inequality is [-4, ∞).
Now let's write the interval notation for the second one.
q can be anything less than 4. So the first number would be negative infinity: (-∞
q cannot pass 4, so the second number would be 4. Since q does not include 4, you use parentheses: 4)
The interval notation for the second inequality is (-∞, 4).
The interval notation for this compound inequality is [-4, ∞) or (-∞, 4).
Sorry if this was long and confusing. Hope this helped!
