The inequality that represents the number of hours Philip must work to buy the laptop is 5x + 90 ≥ 735
Inequality is a term used in mathematics that can be described as the relation which makes an unequal comparison between two mathematical expressions.
As he saves $5 of his hourly pay, considering x to be the number of hours the inequality for this case can be given as;
5x + 90 ≥ 735
The '≥' sign indicates that this amount should be equal to or greater than 735 so that he can purchase the laptop.
Solving for x;
5x ≥ 735 - 90
5x ≥ 645
x ≥ 645 / 5
x ≥ 129
Therefore he has to work for at least 129 hours to purchase the laptop.
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