Respuesta :
Answer:
Step-by-step explanation:
- 38d - 57 ≥ - 19d + 76
- 38d + 38d - 57 - 76 ≥ - 19d + 38d + 76 - 76
-133 ≥ 19d
-133/19 ≥ 19/19d
-7 ≥ d
Answer:
[tex]d\leq -7[/tex]
Step-by-step explanation:
Move all terms containing [tex]d[/tex] to the left side of the inequality.
Add [tex]-19d[/tex] to both sides of the inequality.
[tex]-38d-57+19d\geq 76[/tex]
Add [tex]-38[/tex] and [tex]19d.[/tex]
Move all terms not containing [tex]d[/tex] to the right side of the inequality.
Add [tex]57[/tex] to both sides of the inequality.
[tex]-19d\geq 76+57[/tex]
Add [tex]76[/tex] and [tex]57.[/tex]
[tex]-19d\geq 133[/tex]
Divide each term by [tex]-19[/tex] and simplify.
Divide each term in [tex]-19d\geq 133[/tex] by [tex]-19[/tex]. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
[tex]\frac{-19d}{-19} \leq \frac{133}{-19}[/tex]
Cancel the common factor
[tex]\leq \frac{133}{-19}[/tex]
Divide [tex]133[/tex] by [tex]-19.[/tex]
[tex]d\leq -7[/tex]
The result can be shown in multiple forms.
Inequality Form:
[tex]d\leq -7[/tex]
Interval Notation:
[tex](- { \infty} ,-7][/tex]
