Inequalities help us to compare two unequal expressions. The solution of the given inequality –24 ≤ x – 3 – 8x is x≤3.
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression of the inequality can be solved as shown below,
–24 ≤ x – 3 – 8x
–24 + 3 ≤ x – 8x
–21 ≤ –7x
–7x ≥ –21
x ≤ –21 / –7
x ≤ 3
Therefore, the value of x should be less than or equal to 3 for the inequality to be satisfied.
Hence, the solution of the given inequality –24 ≤ x – 3 – 8x is x≤3.
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