inequalities

Front

What does the inequality x ≥ 3 represent on a number line?

Back

The graph includes all numbers greater than or equal to 3, with a closed circle at 3.

Front

What symbol represents 'more than' in inequalities?

Back

>

Front

How do you express the word sentence 'A number w is smaller than 5' as an inequality?

Back

w < 5

Front

If the inequality is 5 ≥ x, will the circle at 5 be colored in on a number line?

Back

Yes, because the inequality includes 5.

Front

What does the inequality m - 5 > 10 imply about the value of m?

Back

m is greater than 15.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (>, <) do not include the boundary value, while non-strict inequalities (≥, ≤) do.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to get 2x < 8, then divide by 2 to find x < 4.

Front

What does the inequality x ≤ 7 indicate about the values of x?

Back

x can be any number less than or equal to 7.

Front

How can you graph the inequality x > 2 on a number line?

Back

Draw an open circle at 2 and shade to the right.

Front

What is the solution set for the inequality -3 < x ≤ 4?

Back

The solution set includes all numbers greater than -3 and up to 4, including 4.