Step-by-step explanation:
2)[tex]x - 7 > 10[/tex]
[tex] = x - 7 + 7 > 10 + 7[/tex]
[tex] = x > 10[/tex]
3)[tex]3x \leqslant 21[/tex]
[tex] = \frac{3x}{3} = \frac{21}{3} [/tex]
[tex] = x \leqslant 7[/tex]
4)[tex]5a - 2 < 18[/tex]
[tex] = 5a - 2 + 2 < 18 + 2[/tex]
[tex] = 5a < 20[/tex]
[tex] = \frac{5a}{5} < \frac{20}{5} [/tex]
[tex] = a < 4[/tex]
5)[tex]2t + 8 > - 4(t + 1)[/tex]
[tex] = 2t + 8 > - 4t - 4[/tex]
[tex] = 2t + 8 + 4 > - 4t - 4 + 4[/tex]
[tex] = 2t + 12 > - 4t[/tex]
[tex] = 2t + 4t + 12 > - 4t + 4t[/tex]
[tex] = 6t + 12 > 0[/tex]
[tex] = 6t + 12 - 12 > 0 - 12[/tex]
[tex] = 6t > - 12[/tex]
[tex] = \frac{6t}{6} = \frac{ - 12}{6} [/tex]
[tex] = t > - 2[/tex]
