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write an inequality to describe the graph. 41. 42. 43. 44. 45. 46. 47. …

Question

write an inequality to describe the graph.
41.

42.

43.

44.

45.

46.

47.

48.

write and simplify an inequality, then answer each question.

  1. michaela sells each hand - made bracelet for $5. she spent $20 on materials. how many bracelets does she need to sell to make more than the amount she spent on supplies?
  1. laurence read at least 76 pages of his book. if there are 82 pages in the book, how many pages could laurence have read?

Explanation:

41. Step1: Identify point and direction

Closed dot at $-2$, arrow left.
$x \leq -2$

42. Step1: Identify point and direction

Open dot at $-8$, arrow left.
$x < -8$

43. Step1: Identify point and direction

Closed dot at $-1$, arrow right.
$x \geq -1$

44. Step1: Identify point and direction

Open dot at $3$, arrow left.
$x < 3$

45. Step1: Identify point and direction

Closed dot at $4$, arrow left.
$x \leq 4$

46. Step1: Identify point and direction

Closed dot at $6$, arrow right.
$x \geq 6$

47. Step1: Identify point and direction

Open dot at $-3$, arrow left.
$x < -3$

48. Step1: Identify point and direction

Open dot at $7$, arrow right.
$x > 7$

49. Step1: Define variable, set inequality

Let $x$ = number of bracelets. $5x > 20$

49. Step2: Solve for x

$\frac{5x}{5} > \frac{20}{5}$
$x > 4$

50. Step1: Define variable, set inequality

Let $p$ = pages read. $76 \leq p \leq 82$

Answer:

  1. $x \leq -2$
  2. $x < -8$
  3. $x \geq -1$
  4. $x < 3$
  5. $x \leq 4$
  6. $x \geq 6$
  7. $x < -3$
  8. $x > 7$
  9. She needs to sell more than 4 bracelets, or $x > 4$
  10. Laurence could have read any integer number of pages from 76 to 82, or $76 \leq p \leq 82$ where $p$ is an integer