Question

which of the following are solutions to the inequality below? select all that apply.
$2 \leq 7 - \frac{d}{21}$
$d = 105$
$d = 42$
$d = 21$
$d = 84$

Explanation:

Step1: Isolate the fraction term

Subtract 7 from both sides:
$2 - 7 \leq -\frac{d}{21}$
$-5 \leq -\frac{d}{21}$

Step2: Eliminate negative coefficient

Multiply both sides by -21, reverse inequality:
$(-5) \times (-21) \geq d$
$105 \geq d$
Or $d \leq 105$

Step3: Test each value

• For $d=105$: $105 \leq 105$ ✔️
• For $d=42$: $42 \leq 105$ ✔️
• For $d=21$: $21 \leq 105$ ✔️
• For $d=84$: $84 \leq 105$ ✔️

Answer:

d = 105, d = 42, d = 21, d = 84