Solving and Graphing One-Step Inequalities

What is the importance of graphing inequalities?

• It helps visualize the range of solutions and understand the relationship between numbers.

• It simplifies complex equations into linear forms.

• It eliminates the need for calculations in algebra.

• It provides a method for solving quadratic equations.

How do you check if a number is a solution to an inequality?

• Substitute the number into the inequality and see if the statement is true.

• Multiply the number by two and check if it is greater than the inequality.

• Add the number to both sides of the inequality and simplify.

• Graph the inequality and see if the number lies within the shaded region.

What are two solutions to the inequality x < 8?

• Any numbers less than 8, such as 0.8 and 5.9.

• Any numbers greater than 8, such as 9 and 10.

• Any numbers equal to 8, such as 8 and 8.1.

• Any numbers less than or equal to 8, such as 7 and 8.

How do you graph the inequality x ≥ 3 on a number line?

• Draw a solid dot on 3 and shade to the right to indicate all numbers greater than or equal to 3.

• Draw an open dot on 3 and shade to the left to indicate all numbers less than 3.

• Draw a solid dot on 3 and shade to the left to indicate all numbers less than or equal to 3.

• Draw an open dot on 3 and shade to the right to indicate all numbers greater than 3.

What does it mean if an inequality has no solution?

• It means there are no values that satisfy the inequality, such as x < x.

• It means there is at least one value that satisfies the inequality.

• It means the inequality is always true for any value.

• It means the inequality can be solved for a specific value.

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

• x < 4

• x < 5

• x < 6

• x < 7

How do you solve the inequality x - 4 ≤ 6?

• Add 4 to both sides: x ≤ 10.

• Subtract 4 from both sides: x ≤ 2.

• Multiply both sides by -1: x ≥ -10.

• Divide both sides by 2: x ≤ 3.

What does the symbol '≥' mean?

• Less than

• Greater than

• Greater than or equal to

• Equal to

What does the symbol '≤' mean?

• 'Greater than or equal to'

• 'Less than'

• 'Less than or equal to'

• 'Equal to'

What is the solution to the inequality 7n > 49?

• n < 7

• n = 7

• n > 7

• n ≤ 7