Question

Solve the inequality and show your solution on a number line: −4x≥−1

Answer 1

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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Answer 2

*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
`x\leq(1)/(4)`

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.