One-Step Inequalities Quiz

One-Step Inequalities

• A number less than -3 is represented as n < -3.
• A number greater than 10 is denoted by n > 10.
• A number at least 14 can be expressed as n ≥ 14.
• Describing a number no more than 10 is done with n ≤ 10.

Solving Inequalities

• The inequality x + 5 < 20 simplifies to x < 15.
• From the inequality x - 4 > -8, it simplifies to x > -4.
• For 7x ≥ -35, dividing by 7 shows that x ≥ -5.
• The expression x/8 < -48 results in x < -6 after multiplication.

More Inequalities

• The inequality x + 5 ≤ -6 leads to x ≤ -11 when solved.
• The statement x - 9 > -8 resolves to x > 1.
• From x + 15 < 12, we conclude that x < -3.
• Solving x - 15 ≥ 50 results in x ≥ 65.
• The inequality x + 10 ≤ 75 simplifies to x ≤ 65.

Special Cases Involving Negative Coefficients

• The inequality -8x < 24 results in x > -3 after dividing both sides by -8.
• For -5x > -35, it translates to x < 7, dividing by -5 reverses the inequality.
• When dealing with x/6 ≥ -2, the solution is x ≥ -12.
• The inequality x/(-6) ≥ -2 simplifies to x ≤ 12, also reversing the inequality due to division by a negative.
• The expression 9x > 81 shows that x > 9 after division by 9.
• The inequality -7x < 42 resolves to x > -6.

Basic Symbols in Inequalities

• The symbol for less than is <.
• Greater than is represented by >.
• Less than or equal to is symbolized as ≤.
• Greater than or equal to appears as ≥.
• The phrase "no more than" corresponds to ≤.
• "No less than" is represented by ≥.
• The term "at least" uses the symbol ≥.
• "At most" indicates ≤.