solve and graph the inequalities\n1) ( 16 > - 9 + y )\n2) ( - 5 + g > 7 )\n3) ( - 4 + c geq - 5 )\n4) ( - 13…

solve and graph the inequalities\n1) ( 16 > - 9 + y )\n2) ( - 5 + g > 7 )\n3) ( - 4 + c geq - 5 )\n4) ( - 13 leq q - 1 )\n5) ( 8 + n geq 17 )\n6) ( k + 7 < - 15 )\n7) ( - 8 + v geq - 10 )\n8) ( 12 < h + 2 )\n9) ( b - 5 > - 7 )\n10) ( 17 leq 8 + r )

solve and graph the inequalities\n1) ( 16 > - 9 + y )\n2) ( - 5 + g > 7 )\n3) ( - 4 + c geq - 5 )\n4) ( - 13 leq q - 1 )\n5) ( 8 + n geq 17 )\n6) ( k + 7 < - 15 )\n7) ( - 8 + v geq - 10 )\n8) ( 12 < h + 2 )\n9) ( b - 5 > - 7 )\n10) ( 17 leq 8 + r )

Answer

Explanation:

Step1: Solve the inequality (16 > - 9 + y)

Add (9) to both sides: (16+9>y), so (y < 25).

Step2: Solve the inequality (k + 7 < - 15)

Subtract (7) from both sides: (k<-15 - 7), so (k < - 22).

Step3: Solve the inequality (-5+g>7)

Add (5) to both sides: (g>7 + 5), so (g>12).

Step4: Solve the inequality (-8 + v\geq - 10)

Add (8) to both sides: (v\geq-10 + 8), so (v\geq - 2).

Step5: Solve the inequality (-4 + c\geq - 5)

Add (4) to both sides: (c\geq-5 + 4), so (c\geq - 1).

Step6: Solve the inequality (12 < h + 2)

Subtract (2) from both sides: (h>12 - 2), so (h > 10).

Step7: Solve the inequality (-13\leq q - 1)

Add (1) to both sides: (q\geq-13 + 1), so (q\geq - 12).

Step8: Solve the inequality (b - 5 > - 7)

Add (5) to both sides: (b>-7 + 5), so (b > - 2).

Step9: Solve the inequality (8 + n\geq 17)

Subtract (8) from both sides: (n\geq17 - 8), so (n\geq9).

Step10: Solve the inequality (17\leq8 + r)

Subtract (8) from both sides: (r\geq17 - 8), so (r\geq9).

Answer:

  1. (y < 25)
  2. (g>12)
  3. (c\geq - 1)
  4. (q\geq - 12)
  5. (n\geq9)
  6. (k < - 22)
  7. (v\geq - 2)
  8. (h > 10)
  9. (b > - 2)
  10. (r\geq9)