<

≤

>

≥

<

≤

>

≥

Solución=(-∞,∞)

Solución={∅}

Elige grado inecuación:

UNO

UNO

DOS

DOS

Elige \;  desigualdad: \; <,≤,>,≥

Solución=(-∞,∞)

Solución=\left\{ ∅ \right\} 

Solución=\left\{ ∅ \right\} 

Solución=\left\{ ∅ \right\} 

Solución=\left( -∞,∞  \right) 

Solución=\left\{∅  \right\} 

Solución=\left\{ ∅ \right\} 

Solución=\left( -∞,∞  \right) 

Solución=\left(-∞,∞   \right) 

a_1 = -0.6 (slider from -5 to 5, step 1.1)
des = 4 (slider from 1 to 4, step 1)
k = -2 (slider from -8 to 8, step 1)
c = 0 (slider from -5 to 5, step 1)
a = If(a_1 < 0, floor(a_1), If[a_1 > 0, ceil(a_1)])
b = 2 (slider from -5 to 5, step 1)
L_2: {(a * x^(2)) + (b * x) + c < k, (a * x^(2)) + (b * x) + c ≤ k, (a * x^(2)) + (b * x) + c > k, (a * x^(2)) + (b * x) + c ≥ k}
j_1 = Element(L_2, des)
gr = 1 (slider from 1 to 2, step 1)
f_1(x) = (a * x) + b
f = Simplify(f_1)
L_1: {(a * x) + b < k, (a * x) + b ≤ k, (a * x) + b > k, (a * x) + b ≥ k}
L1 = 1 (slider from -5 to 5, step 1)
e = Element(L_1, des)
e_1: e
h: y = k
i = Simplify(e)
j_2: j_1
g_1(x) = (a * x^(2)) + (b * x) + c
j = Simplify(j_1)
texto4 = LaTeX(j, true, true)
A, B = Intersect(g_1, h)
l: x(A)
m: x(B)
texto9: "Solución=(-∞," + (LaTeX[l]) + ")∪(" + (LaTeX[m]) + ",∞)"
n: y(A)
C = Intersect(f, h)
d: x(C)
texto25 = LaTeX(i, true, true)
texto26 = LaTeX(j, true, true)
D = Extremum(g_1)
p: y(D)
o: x(D)
texto28: "Solución=(-∞," + (LaTeX[o]) + ")∪(" + (LaTeX[o]) + ",∞)"
texto29: "Solución=(-∞," + (LaTeX[l]) + ")"
texto30: "Solución=(-∞," + (LaTeX[l]) + "]"
texto31: "Solución=(" + (LaTeX[l]) + ",∞)"
texto34: "Solución=(" + (LaTeX[l]) + ",∞]"
texto33: "Solución=(" + (LaTeX[l]) + ",∞)"
texto35: "Solución=(-∞," + (LaTeX[l]) + ")"
g = Simplify(g_1)
texto39 = SurdText(m)
texto40: "" + (LaTeX[e]) + ""
texto41 = SurdText(d)
texto3: "Solución=(-∞," + (LaTeX[texto41]) + " \; ]"
texto2: "Solución=(-∞," + (LaTeX[texto41]) + " \; )"
texto23: "Solución=( \; " + (LaTeX[texto41]) + ",∞)"
texto24: "Solución=[ \; " + (LaTeX[texto41]) + ",∞)"
texto42 = SurdText(l)
texto43 = SurdText(m)
texto8: "Solución=(-∞," + (LaTeX[texto42]) + " \; ]∪[ \; " + (LaTeX[texto43]) + ",∞)"
texto6: "Solución= [ \; " + (LaTeX[texto42]) + ", " + (LaTeX[texto43]) + " \; ]"
texto7: "Solución=(-∞," + (LaTeX[texto42]) + " \; )∪( \; " + (LaTeX[texto43]) + ",∞)"
q = Simplify(e)
texto44: "" + q + ""
texto32: "Solución=[ \; " + (LaTeX[texto42]) + ",∞)"
texto36: "Solución=(-∞," + (LaTeX[texto42]) + " \;  ]"
texto45: "" + (LaTeX[j_1]) + ""
texto46: "" + (LaTeX[j]) + ""
L_3: {"<", "≤", ">", "≥"}
texto48 = Element(L_3, des)
texto47: "" + (LaTeX[g]) + " \;" + (LaTeX[texto48]) + " " + (LaTeX[k]) + ""
texto18: "" + (LaTeX[e_1]) + ""
texto49 = SurdText(d)
texto22: "Solución=( \; " + (LaTeX[texto49]) + ",∞)"
texto19: "Solución=(-∞," + (LaTeX[texto49]) + ")"
texto21: "Solución=[ \; " + (LaTeX[texto49]) + ",∞)"
texto20: "Solución=(-∞," + (LaTeX[texto49]) + "]"
texto50 = Element(L_3, des)
texto51: "" + (LaTeX[g]) + "" + (LaTeX[texto50]) + "" + (LaTeX[k]) + ""
texto5: "Solución= ( \; " + (LaTeX[texto42]) + "," + (LaTeX[texto43]) + " \; )"
texto53: "b=" + b + ""
texto54: "c=" + c + ""
texto10: "Solución=(-∞," + (LaTeX[texto42]) + " \; ]∪[ \; " + (LaTeX[texto43]) + ",∞)"
texto55: "k=" + k + ""
G_1 = Extremum(g)
texto12: "Solución=[ \; " + (LaTeX[texto42]) + "," + (LaTeX[texto43]) + " \; ]"
texto11: "Solución=\left(" + (LaTeX[texto42]) + "," + (LaTeX[texto39]) + "  \right) "
texto15: "Solución=(-∞," + (LaTeX[texto42]) + ")∪(" + (LaTeX[texto43]) + ",∞)"
F(x) = g(x) - k
G = Simplify(F)
E, H = Root(G)
lista1: {E, H}
lista2 = RemoveUndefined(lista1)
r = Length(lista2)
s: G(x(D))
t: x(D)
texto57: "Solución=\left(-∞," + (LaTeX[t]) + "   \right) ∪\left(" + (LaTeX[t]) + ",∞   \right) "
u: G(x(D) + 0.1)
texto58: "Solución=\left\{" + (LaTeX[t]) + "  \right\} "
texto60: "Solución=\left\{" + (LaTeX[t]) + "  \right\} "
texto63: "Solución=\left(-∞," + (LaTeX[t]) + "   \right) ∪\left(" + (LaTeX[t]) + ",∞   \right) "
texto66: "a \; x+b" + (LaTeX[texto50]) + "k"
texto65_1: "a \; x^2+b \; x+c" + (LaTeX[texto50]) + "k"
texto52: "a=" + (LaTeX[a]) + ""