Review Linear Inequalities - Take 1!

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤).

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or equal to a specified number.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or equal to a specified number.

Front

How do you solve the inequality -3 + x ≤ -11?

Back

To solve -3 + x ≤ -11, add 3 to both sides: x ≤ -8.

Front

What is the solution to the inequality -2(x + 2) < 14?

Back

To solve -2(x + 2) < 14, first divide by -2 (remember to flip the inequality): x > -9.

Front

How do you solve the inequality 3x - 2 < 13?

Back

To solve 3x - 2 < 13, add 2 to both sides: 3x < 15, then divide by 3: x < 5.

Front

What is the solution to the inequality 2x - 3 ≥ 4x - 1?

Back

To solve 2x - 3 ≥ 4x - 1, rearrange to get: -3 + 1 ≥ 4x - 2x, which simplifies to x ≤ -1.

Front

What is the graphical representation of a linear inequality?

Back

The graphical representation of a linear inequality is a shaded region on a number line or coordinate plane, indicating all possible solutions.

Front

What does it mean if a point is on the boundary line of a linear inequality?

Back

If a point is on the boundary line of a linear inequality, it means that the point satisfies the inequality if the inequality includes equality (≥ or ≤).

Front

How do you graph the inequality a ≥ 11?

Back

To graph a ≥ 11, draw a solid line at a = 11 and shade the region above the line.