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

4 x - 5 > 15 is a linear inequality with greater than sign.

Add 5 on both sided of the equation.

This gives, 4 x - 5 + 5 > 15 + 5; 4 x > 20;

Now divide the inequality by 4 on both sides of the equation.

4 x/ 4 > 20 /4; x > 5.

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

6 x - 8 < 10 is a linear inequality with lesser than sign.

Add 8 on both sided of the equation.

This gives, 6 x - 8 + 8 < 10 + 8; 6 x < 18;

Now divide the inequality by 4 on both sides of the equation.

6 x/ 6 < 16 /8; x < 3.