What is the solution to the inequality $$2x + 3 \\geq 11$$ ?

Subtract 3 from both sides: $$2x \\geq 8$$ . Then divide by 2: $$x \\geq 4$$ .

What is the solution to the inequality $$x - 4 \\leq 0$$ ?

Add 4 to both sides: $$x \\leq 4$$ .

How do you express 'the sum of a number and 3 is greater than 7' in inequality form?

The inequality is $$x + 3 > 7$$ .

What is the solution to the inequality $$-2x + 6 > 0$$ ?

Subtract 6 from both sides: $$-2x > -6$$ . Then divide by -2 (flip the inequality): $$x

Solving Inequalities Flashcards

Student preview

16 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other.

2.

FLASHCARD QUESTION

Front

What does the symbol ≤ represent?

Back

The symbol ≤ means 'less than or equal to'.

3.

FLASHCARD QUESTION

Front

How do you solve the inequality $3x - 2 \leq 13$ ?

Back

Add 2 to both sides: $3x \leq 15$ . Then divide by 3: $x \leq 5$ .

4.

FLASHCARD QUESTION

Front

What is the solution to the inequality -8x < 48?

Back

Divide both sides by -8 (remember to flip the inequality): $x > -6$ .

5.

FLASHCARD QUESTION

Front

Write an inequality for: Twenty-two more than four times a number is less than 82.

Back

The inequality is $22 + 4n < 82$ .

6.

FLASHCARD QUESTION

Front

What does the symbol > represent?

Back

The symbol > means 'greater than'.

7.

FLASHCARD QUESTION

Front

How do you solve the inequality $\frac{x}{2} - 4 < 8$ ?

Back

Add 4 to both sides: $\frac{x}{2} < 12$ . Then multiply by 2: $x < 24$ .

8.

FLASHCARD QUESTION

Front

What is the solution to the inequality $x + 5 > 10$ ?

Back

Subtract 5 from both sides: $x > 5$ .

10.

FLASHCARD QUESTION

Front

How do you express 'x is less than 10' in inequality form?

Back

The inequality is $x < 10$ .

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