Respuesta :
*To solve an inequality, it's the same as solving an equation; isolate the variable to one side.
For this, all you need to do is divide both sides by -4. And since we are dividing by a negative, flip the inequality sign and your inequality is [tex]x\leq\frac{1}{4}[/tex]
Now to graph this. Since x can be "equal to" 1/4 ( ≤ = less than or equal to), you will have a closed circle on 1/4. And since x can also be "less than" 1/4, the arrow will be going to the left of 1/4.
Solve:
−4x ≥ − 1
Steps:
Solution: x ≤ 1/4
Decimal: x ≤ 0.25
Interval Notation: - ∞ , 1/4
Multiply Both sides by -1 (Reverse the Reverse the Inequality):
( -4x) ( - 1 ) ≤ ( -1 ) ( -1 )
Simplify:
4x ≤ 1
Divide both sides by 4:
4x/4 ≤ 1/4
Answer ====> x ≤ 1/4
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