Question

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

Answer 1

*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 $x\leq\frac{1}{4}$

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.

Answer 2

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

Hope that helps!!!!                              : )  

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