Inequalities One Step and Two Step

Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.

• 14≥2n+3

• 2+3n≤14

• 14-3n≤2

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40

Here's the exception! When you multiply or divide both sides of the inequality by a negative number, you must flip/reverse the inequality sign!

• Got it! Just like in the video!

• Hmmm, I hope I remember. Feeling shaky!

Solve and graph the solution.

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x + 5 > 7

• x > -2

• x > 2

• x > 12

• x > -12

r - 14 ≥ 17

• r ≥ 3

• r ≥ -31

• r ≥ 31

• r ≥ -3

y - 13 ≤ -15

• y ≤ 2

• y ≤ -2

• y ≤ 28

• y ≤ -28

Solve

• z≤1

• z>9

• z≤9

• z<9

Solve 

• a≤1

• a≤25

• a>1

• a<25

7n > 49

• n > 7

• n < 7

• n > 343

• n < 343