Graphing Linear Inequality Review

Solve the linear inequality.

• x < 5

• x > 5

• x < 5

• x > 5

Solve the inequality

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For the system of inequalities below, which ordered pairs are solutions? Select all that apply.

• (-2, 0)

• (0, -3)

• (1, -5)

• (5, 5)

• (-5, 5)

For the system of inequalities below, which ordered pairs are not solutions? Select all that apply.

• (2, 0)

• (0, -5)

• (3, 10)

• (5, 10)

• (5, 0)

When graphing the below inequality, which type of line would you use?

• solid

• dotted

• shaded

• unshaded

When graphing the below inequality, which type of line would you use?

• solid

• dotted

• shaded

• unshaded

What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

Answer explanation

The number line graph represents the inequality x < -4. This is because all the values to the left of -4 on the number line satisfy the inequality.

When graphing an inequality, you use a dotted line when you use which symbol?

• <, >

• ≤, ≥ 

Answer explanation

A dotted line is used when graphing an inequality with the symbols < and >, indicating strict inequality.

How can I tell if an inequality will have a solid line?

• It has an equal sign.

• The symbol is greater than.

• The symbol has "or equal to."

• You just guess.

Answer explanation

An inequality will have a solid line if the symbol includes 'or equal to'.

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.

• 7x + 13y < 81

• 7x + 13y ≥ 81

• 7x + 13y ≤ 81

• 7x + 13y > 81

Answer explanation

The correct choice is 7x + 13y ≤ 81 because it represents the budget constraint of Ms. Savva's order, where x is the number of breadsticks and y is the number of pizzas.