Solving Multi-Step Inequalities PART 2

Front

What do the phrases 'At most' and 'No more than' indicate in inequalities?

Back

They indicate that the value is less than or equal to a certain number, represented by the symbol ≤.

Front

Solve the inequality: 4(2a + 3) < 3(a - 1)

Back

a < -3

Front

What is the solution to the equation 3x + 2(4x - 4) = 3?

Back

x = 1

Front

Graph the solution set of the inequality: -4a ≤ -28.

Back

a ≥ 7 (Graph includes all values greater than or equal to 7 on a number line.)

Front

Solve the inequality: 6x + 10 > 5x - 12

Back

x > -22

Front

What does the symbol '>' represent in inequalities?

Back

It represents that the value on the left is greater than the value on the right.

Front

What does the symbol '<' represent in inequalities?

Back

It represents that the value on the left is less than the value on the right.

Front

What is the difference between ≤ and < in inequalities?

Back

≤ includes the value itself (less than or equal to), while < does not include the value (strictly less than).

Front

How do you solve an inequality involving a negative coefficient?

Back

Multiply or divide both sides by the negative number, and reverse the inequality sign.

Front

What is the first step in solving the inequality 2x - 5 > 3?

Back

Add 5 to both sides to isolate the term with x.