Use symbols to represent unknowns and variables. Write inequalities to answer questions arising from situations.
1. Ten less than a number, x, is greater than 32.
2. A number, n, decreased by 6 is less than or equal to 4.
3. One half of a number, increased by 9, is less than 33.
1. x-10 > 32
2. n-6 <= 4
3. 1/2(x) + 9 < 33
To write inequalities using symbols to represent unknowns and variables, we can use the following symbols:
- "x" will represent an unknown number or variable.
- ">" represents "is greater than."
- "<" represents "is less than."
- ">=" represents "is greater than or equal to."
- "<=" represents "is less than or equal to."
1. Ten less than a number, x, is greater than 32.
Translate the given statement into an inequality:
x - 10 > 32
2. A number, n, decreased by 6 is less than or equal to 4.
Translate the given statement into an inequality:
n - 6 <= 4
3. One half of a number, increased by 9, is less than 33.
Translate the given statement into an inequality:
(1/2)x + 9 < 33
These inequalities can be solved algebraically by isolating the variable on one side of the inequality symbol.