Answer:
42. Graph a
43. Not possible.
44. Graph e
45. Graph c
46. Graph b.
Step-by-step explanation:
42. 7x + 13 ≥ 55
⇒ x ≥ 6
So, it matches graph a.
43. 12x - 8 > 4(3x + 2)
⇒ 12x - 8 > 12x + 8
Hence, d. not possible.
44. 
⇒ 
⇒ x > - 8
Hence, graph e matches.
45. - 4(- 2x + 3) ≤ 5 + 8x
⇒ 8x - 12 ≤ 5 + 8x
⇒ - 12 ≤ 5
This is true for all values of x, hence that matches graph c.
46. - 4(x + 3) > 8(x + 3)
⇒ - 4x - 12 > 8x + 24
⇒ 12x < - 36
⇒ x < - 3
Hence, graph b matches the situation. (Answer)
Answer:
Option The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above
the line
Step-by-step explanation:
we have
The solution of the inequality is the shaded area above the dashed line The equation of the dashed line is 
The slope of the dashed line is positive 
The y-intercept of the dashed line is -8
see the attached figure to better understand the problem
<span>the answer is C. x ≥ 8.00 and x < 9.50
proof
</span>x ≥ 8.00 is equivalent to 8.00 ≤ x, and we have also <span>x < 9.50
so </span>x ≥ 8.00 and x < 9.50 or <span>8.00 ≤ x < 9.50</span>
