Answer:
[tex]$ \mbox{\large $ c \geq 6$ } $[/tex]
Step-by-step explanation:
1.) Transpose all the mathematical constants to the opposite side of the inequality, to isolate the terms with the variable [tex]c[/tex] on one side of the inequality.
⇒ [tex]$ \mbox{\large $ 4c - 5 \geq 19$ } $[/tex]
⇒ [tex]$ \mbox{\large $ 4c - 5 + (5) \geq 19 + (5)$ } $[/tex]
⇒ [tex]$ \mbox{\large $ 4c \geq 24$ } $[/tex]
2.) Divide both sides of the inequality by [tex]4[/tex], to get the the value of the variable [tex]c[/tex].
⇒ [tex]$ \mbox{\large $ 4c \geq 24$ } $[/tex]
⇒ [tex]$ \mbox{\large $ \frac{4c}{4} \geq \frac{24}{4}$ } $\\[/tex]
⇒ [tex]$ \mbox{\large $ c \geq \frac{2 \times 2 \times 2 \times 3}{2 \times 2}$ } $\\[/tex]
⇒ [tex]$ \mbox{\large $ c \geq 2 \times 3$ } $\\[/tex]
⇒ [tex]$ \mbox{\large $ \bold{c \geq 6}$ } $[/tex]
3.) Thus, the value of the variable [tex]c[/tex] in the inequality [tex]4c - 5 \geq 19[/tex] is [tex]c \geq 6[/tex].
I hope this helps you understand this concept in Mathematics.
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