Multistep Inequalities

Front

What is a multistep inequality?

Back

A multistep inequality is an inequality that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, or division.

Front

How do you solve the inequality x + 9 > 21?

Back

Subtract 9 from both sides: x > 12.

Front

What does it mean if a value satisfies an inequality?

Back

It means that when the value is substituted into the inequality, the inequality holds true.

Front

What is the solution to the inequality -8(m + 2) < 4(5 + 2m)?

Back

m = -2 is a possible solution.

Front

How do you check if -13 is a solution for the inequality 6 - 2h > 30?

Back

Substitute -13 for h: 6 - 2(-13) > 30, which simplifies to 32 > 30, confirming it is a solution.

Front

What is the first step to solve the inequality 28 - k ≥ 7(k - 4)?

Back

Distribute 7 on the right side: 28 - k ≥ 7k - 28.

Front

What is the solution to the inequality 6(n + 2) < -72?

Back

n < -14.

Front

What does the symbol '≥' mean in an inequality?

Back

It means 'greater than or equal to'.

Front

What is the solution set for the inequality 6 - 2h > 30?

Back

h < -12.

Front

How do you isolate the variable in the inequality k ≤ 7?

Back

The variable k is already isolated; it indicates that k can be any number less than or equal to 7.