Translating, Solving and Graphing Inequalities

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

• s < 55

• s > 55

• s ≤ 55

• s ≥ 55

Which sentence represents m > 41?

• Mary’s points, m, totaled more than 41

• Calvin ran no less than 41 miles, m

• The temperature, m, was less than 41°F

• The magazines’ cost, m, was not more than $41.

Four times a number then increased by 7 is at least 19.

• 4(x + 7) > 19

• 4x + 7 ≥ 19

• 4(x + 7) < 19

• 4x + 7 ≤ 19

SOLVE: Four times a number then increased by 7 is at least 19.

• x ≥ 3

• x ≥ 12

• x ≤ 3

• x ≤ 4

Translate: Four more than the quotient of a number and 3 is at most 9.

• n÷3 + 4 < 9

• 3÷n + 4 < 9

• n÷3 + 4 > 9

• n÷3 + 4 < 9

Translate into a correct inequality: Six increased by twice a number is no more than 20.

• 6x + 2 ≥20

• 6x + 2 > 20

• 6 - 2x ≤20

• 6 + 2x ≤20

Translate the phrase or sentence into an equation, inequality or expression:

"Five less than the product of a number and 3 is at least -7."

• 5 - 3n < -7

• 3n - 5 > -7

• 3n - 5 < -7

• 5 - 3n = -7

If you got an answer such as 6<10, you would conclude...

• No solution

• All real numbers

• Infinite solutions

• x<9

SOLVE: 4x+10 < 4x - 9

• 10 < -9

  No solution

• 10 < -9

  All real numbers

• x < -19

• x > 19

Translate into an inequality: Six less than double a number is less than 18.

• 6 - 2x < 18

• 6 - 2 - x = -18

• 2x - 6 ≤ 18

• 2x - 6 < 18