Navigating the Challenges of Solving Inequalities

What is the main difference between an expression and an equation?

• An equation can only contain numbers, while an expression can contain variables.

• An expression can only contain numbers, while an equation can contain variables.

• An equation contains an equal sign, while an expression does not.

• An expression contains an equal sign, while an equation does not.

Which inequality symbol represents 'less than or equal to'?

• >

• ≥

• <

• ≤

If X is greater than or equal to 7, which of the following numbers is a valid solution?

• 4

• 5

• 7

• 6

When solving the inequality 2x - 7 ≤ 43, what is the first step?

• Multiply both sides by 2

• Divide both sides by 2

• Subtract 7 from both sides

• Add 7 to both sides

In the inequality 4(x - 3) > x - 8 + x, what should you do first?

• Combine like terms on the right side

• Add 8 to both sides

• Distribute the 4 on the left side

• Subtract x from both sides

What is the first step in isolating the variable 'y' in the inequality 31 ≤ 4y + 7 ≤ 51?

• Subtract 7 from all three expressions

• Add 7 to all three expressions

• Multiply all three expressions by 4

• Divide all three expressions by 4

In the inequality 80 < (R + 88 + 72) / 3 ≤ 90, what should be done first to simplify the middle expression?

• Divide by 3

• Subtract 88

• Add 88 and 72

• Multiply by 3

When solving the inequality 17 - 3x ≤ 26, what happens to the inequality sign when you divide by a negative number?

• It is removed

• It remains the same

• It becomes an equal sign

• It flips

In the inequality 3 - 2n - 4 ≥ -1, what is the result of distributing -2 through the parentheses?

• -2n + 4

• -2n - 8

• -2n + 8

• -2n - 4

What is the effect of negating both sides of an inequality?

• The inequality sign is removed

• The inequality sign flips

• The inequality sign becomes an equal sign

• The inequality sign remains the same