interval notation

X is such that X belongs to rational numbers and X is less than or equal to 1 and greater than 0 Greater than 0 means we don't include 0 0 < less than or equal to 1 means we include 1: 0 < x <= 1

Translate and solve: 30 times m is greater than −330. (Write your solution in interval notation.) 30 times m: 30m is greater than -330 30m > -330 Using our equation and interval solver, we get: m > -11

Write the interval (2,5) in set builder notation It's a closed interval, so we type in [2,5] into the search engine, and we get: {x|2<= x <= 5}

People with a drivers license are at least 16 years old and no older than 85 years old. Set up the inequality, where p represents the people: The phrase at least means greater than or equal to. So we use the >= sign. 16 <= p The phrase no older than means less than or equal to. So we use the...

A certain species of fish costs $3.19 each. You can spend at most $35. How many of this type of fish can you buy for your aquarium? Let the number of fish be f. We have the following inequality where "at most" means less than or equal to: 3.19f <= 35 Typing this inequality into our search...

Ana's height is strictly between 63 and 66 inches. Write a symbolic inequality to represent this scenario. let h be height 63 < h < 66 You can also type between 63 and 66 in our search engine.

The product of x and 7 is not greater than 21 The product of x and 7: 7x Is not greater than means less than or equal to, so we have our algebraic expression: 7x <= 21 If you want to solve this inequality and interval notation, use our calculator.

x is smaller than 9 and greater than 4 Written as: 4 < x < 9 To display the interval notation, use our interval notation calculator.

-2 <= x +4 < 9 Subtract 4 from each piece: -2 - 4 <= x < 5 Simplify: -6 <= x < 5 To find the interval notation, we set up our notation: The left side has a solid bracket, since we have an equal sign: The right side has an open parentheses, since we have no equal sign [-6, 5)

the sum of a number times 3 and 30 is less than 17 A number is denoted as an arbitrary variable, let's call it x. x Times 3 means we multiply x by 3: 3x The sum of a number times 3 and 30 means we add 30 to 3x above 3x + 30 Is less than 17 means we have an inequality, so we set 3x + 30 less...

-3x<= -9 or 5+x<6 Take each piece: -3x<= -9 Divide each side by -3: x>=3 Now take 5 + x < 6 5 + x < 6 Subtract 5 from each side: x < 1 Joining together the two inequalities, we have: x<1 or x>=3 Use our interval notion calculator to find the interval notation of this compound inequality

let x be the variable, an age that is at least 57 years old At least means greater than or equal to x >= 57

The product of 2 and y means we multiply 2y Nine less than that product means we subtract 9 2y - 9 Finally, the entire expression is not less than 15, which means 15 or more. We use greater than or equal to 2y - 9 >= 15 If you want to solve this inequality and write the interval notation, use...

Is at least means greater than or equal to: 5x + 2x >= 70 If we combine like terms, we have: 7x >=70 We can further simplify by dividing each side of the inequality by 7 x >=10 If you want the interval notation for that, use the interval notation calculator.

We have two expressions here, so we need a union since we have the word or. First, All real numbers less than or equal to -1 is x <= -1. All real numbers greater than 5 is x > 5 So we have x <= -1 U x > 5

I saw this ticket come through today. The answer is x > 6. Natural numbers are positive numbers not 0. So 1, 2, 3, ... Let me build this shortcut into the calculator. Also, here is the interval notation for that expression.