Question

Write an inequality for each of the following:
1. 24 divided by some number is less than 7
2. Five dollars less than two times Chris' pay is at most $124
3. In Ohio, you can get your license when you turn 16. Write an inequality to show the age of all drivers in Ohio.
4. Suppose a DVD costs $19 and a CD costs $14. Write an inequality to find out how many CDs you can buy along with one DVD if you have $65 to spend.

Answer 1

Answer:

$1.\ \ \frac{x}{24}<7\\\\2.\ 2y-5\leq 124\\\\3.\ x\geq 16\\\\4.\ 14x+16y\leq 65$

Step-by-step explanation:

1. let x be the unknown number.

-Given that 24 divided by x is less than x is less than 7 means that 7 is greater than the quotient thereof.

-The in equality is written as:

$\frac{x}{24}<7$

2.Let the amount Chris has be y.

-At most is a term of inclusivity implying less than or equal to a specified quantity.

-$5 less than twice y will therefore be represented as:

$2y-5\leq 124$

3. It is clear that the minimum age to have a drivers license is 16.

-Let x be the age of a driver whose age is unknown.

-It is therefore obvious that all drivers in Ohio are either exactly 16 years or older.

-Our inequality symbol is that of equal to or greater than, thus:

$x\geq 16$

4. let x be the number of CD's bought and y of DVD's bought.

-CD's are priced at $14 each and DVD's at $16 each, given a budget of $65.

-They can only buy a number of units whose price is less than or exactly $65, thus:

$14x+16y\leq 65$