Solve the inequality 2n -3 ≥ 5 and graph the solutions
1 answer:
Answer: n ≥ 4
Step-by-step explanation: To solve for <em>x</em> in this inequality, your goal is the same as it would be if you were solving an equation which is to get <em>x</em> by itself on one side of the inequality.
Since 3 is being subtracted from 2n, add 3 to both sides of the inequality to get 2n ≥ 8. Now since <em>n</em> is being multiplied by 2, we need to divide by 2 on both sides of the inequality to get <em>n ≥ 4</em>.
Our next task is to graph <em>n ≥ 4 </em>on a number line and to do that, we start with a closed dot at 4. The reason we use a closed dot at 4 is because not only is <em>n</em> greater than 4 but it's also equal to 4. Next we draw an arrow going to the right on our number line to represent all numbers greater than 4.
When graphed, it should look something like the image attached.
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Explicación paso a paso:
La distancia recorrida el primer día = 500 m
Si aumenta la distancia en 200 m diariamente, entonces el total corrido diariamente formará una progresión aritmética con el último término de 10 km (10,000) como se muestra;
500, (500 + 200), (500 + 200 + 200) ... 10,000
500, 700, 900 ... 10,000
para que sepamos el número total de días usados para la carrera, usaremos la fórmula para calcular el enésimo término de una secuencia aritmética como se muestra;
where;
n es el número de términos
a es el primer término de la secuencia
d es la diferencia común
Dado a partir de la secuencia:
a = 500
Tn = 10,000
d = 700-500 = 900-700 = 200
Sustituir en la fórmula y calcular el valor de n
Andrea habría alcanzado los 10.000km tras 48,5 días de carrera