Answer:
[tex] d > -9 [/tex]
Step-by-step explanation:
[tex] -\dfrac{1}{4}(d + 1) < 2 [/tex]
First, multiply both sides by -4. You must also change the inequality sign since you are multiplying both sides by a negative number.
[tex] -4 \times \left(-\dfrac{1}{4}\right)(d + 1) > 2 \times (-4) [/tex]
[tex] d + 1 > -8 [/tex]
Subtract 1 from both sides.
[tex] d + 1 - 1 > -8 - 1 [/tex]
[tex] d > -9 [/tex]