I NEQUALITIES

W ARM UP 1. There are 13 two-digit multiples of 7. Find the sum of all two-digit multiples of 7 whose digits sum to a prime number.

C HECK H OMEWORK

V OCABULARY Inequality Algebraic inequality Solution of an inequality Solution set

I NEQUALITY Compares two quantities and typically uses one of these symbols: < means less than > means greater than ≤ means less than or equal to ≥ means greater than or equal to

G RAPHING THE SOLUTION TO INEQUALITIES x < 5 x > 3 x ≤ -2 x ≥ -3

S OLVING I NEQUALITIES m + 7 > 10 Graph the solution. < 13 Graph the solution.

S OLVING I NEQUALITIES x + (-2) ≤ 5 Graph the solution. ≥ -9 Graph the solution.

S OLVING I NEQUALITIES x < 10 Graph the solution. 5 > Graph the solution.

S OLVING I NEQUALITIES x + 7 ≤ 10 Graph the solution. 5 > Graph the solution.

W RITE … Write the symbols for “n is less than 12”. Write the word phrase for “8 ≥ v.”

W RITE AN EXPRESSION AND SOLVE For a field trip to the museum, the science club can purchase individual tickets for $4 each or a group pass for $160. How many club members are necessary for it to be cheaper to buy a group pass than to buy individual tickets? Write and solve an inequality to answer the question.

C HALLENGE 3 ≤ x < 5 means both 3 ≤ x and x < 5 are true at the same time. Solve and graph 6 < x ≤12.

H OMEWORK Textbook p. 26 (26-42) ** Remember that you have a Homework Quiz Tomorrow