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Solution: Given is the inequality equation with one unknown variables x.

7 x - 1 > 20 is a linear inequality with greater than sign.

Add 1 on both sided of the equation.

This gives, 7 x - 1 + 1 > 10 + 1; 7 x > 21;

Now divide the inequality by 7 on both sides of the equation.

Therefore, 7 x/ 7 > 21 /7; x > 3.

Solution: Given is the inequality equation with one unknown variables x.

55 x - 16 < 94 is a linear inequality with lesser than sign.

Add 16 on both sided of the equation.

This gives, 55 x - 16 + 16 < 94 + 16; 55 x < 110;

Now divide the inequality by 55 on both sides of the equation.

Therefore, 55 x/ 55 < 110 /55; x < 2.