Question

12.) Solve the inequality.

11d - 9 ≤ 15d + 3

a.) d ≥ - 3

b.) d ≥ 6/13

c.) d ≥ - 1 1/2

d.) d ≥ 3/13

Answer 1

ANSWER IS A.)
`d \geq -3`

Step-by-step explanation:

move the variable to the left hand side & change it's sign:

`11d - 9 - 15d \leq 3\\`

`11d - 15d \leq 3 + 9`

collect like terms:

`-4d \leq 3 + 9 \\-4d \leq 12`

divide both sides of the inequality by -4 & flip the inequality sign:

`d \geq -3`

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