Question

independent practice
translate each phrase into an inequality. define your variable and write the inequality.
1 \five more than a number is less than 20.\ →
2 \twice a number minus 4 is greater than or equal to 10.\ →
3 \a number divided by 3 is at most 7.\ →
4 \the sum of 9 and a number is greater than 25.\ →
5 \three times a number decreased by 2 is no more than 16.\ →
6 \a number minus 5 is less than 2.\ →
summary
at the end of class, create your own inequality based on a real - life situation (money, sports, time, school, snacks, etc.) and write it clearly. then explain in words what the inequality means in your context.
\the inequality i created was
the solution means \

Explanation:

Step1: Define variable for [1]

Let the number be $x$. Five more than $x$ is $x + 5$, and it is less than 20, so the inequality is $x+5<20$.

Step2: Define variable for [2]

Let the number be $x$. Twice $x$ is $2x$, minus 4 is $2x - 4$, and it is greater than or equal to 10, so the inequality is $2x-4\geq10$.

Step3: Define variable for [3]

Let the number be $x$. $x$ divided by 3 is $\frac{x}{3}$, and it is at most 7, so the inequality is $\frac{x}{3}\leq7$.

Step4: Define variable for [4]

Let the number be $x$. The sum of 9 and $x$ is $9 + x$, and it is greater than 25, so the inequality is $9+x>25$.

Step5: Define variable for [5]

Let the number be $x$. Three times $x$ is $3x$, decreased by 2 is $3x - 2$, and it is no more than 16, so the inequality is $3x-2\leq16$.

Step6: Define variable for [6]

Let the number be $x$. $x$ minus 5 is $x - 5$, and it is less than 2, so the inequality is $x - 5<2$.

Answer:

[1] $x + 5<20$
[2] $2x-4\geq10$
[3] $\frac{x}{3}\leq7$
[4] $9+x>25$
[5] $3x-2\leq16$
[6] $x - 5<2$