Solving Linear Inequalities

Front

What symbols are used for a closed dot when graphing an inequality?

Back

≤, ≥

Front

How do you solve the inequality 4(2a + 3) < 3(a - 1)?

Back

a < -3

Front

Translate the phrase: 'Tom can spend no more than 20 dollars on his mom's birthday present.'

Back

t ≤ 20

Front

What happens to the inequality sign when you divide or multiply both sides by a negative number?

Back

The sign flips.

Front

Translate the phrase: 'You and your friends ate more than 8 slices of pizza at the party.'

Back

x > 8

Front

What is the general form of a linear inequality?

Back

Ax + By < C, Ax + By ≤ C, Ax + By > C, or Ax + By ≥ C where A, B, and C are constants.

Front

What does it mean to graph a linear inequality?

Back

It means to represent the solutions of the inequality on a coordinate plane, showing the region that satisfies the inequality.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (< or >) does not include the boundary, while a non-strict inequality (≤ or ≥) includes the boundary.

Front

How do you represent the solution set of an inequality on a number line?

Back

Use an open dot for strict inequalities and a closed dot for non-strict inequalities, shading the appropriate region.

Front

What is the solution to the inequality -2x ≥ 22?

Back

x ≤ -11.