Question

Which graph shows the solution set for Negative 4.4 greater-than-or-equal-to 1.6 x minus 3.6?
A number line going from negative 3 to positive 3. A closed circle is at negative 0.5. Everything to the left of the circle is shaded.
A number line going from negative 3 to positive 3. A closed circle is at negative 0.5. Everything to the right of the circle is shaded.
A number line going from negative 7 to negative 1. A closed circle is at negative 5. Everything to the left of the circle is shaded.
A number line going from negative 7 to negative 1. A closed circle is at negative 5. Everything to the right of the circle is shaded.

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which graph shows the solution set for

- 4.4 ≥ 1.6x - 3.6

• A number line going from negative 3 to positive 3. A closed circle is at negative 0.5. Everything to the left of the circle is shaded.

• A number line going from negative 3 to positive 3. A closed circle is at negative 0.5. Everything to the right of the circle is shaded.

• A number line going from negative 7 to negative 1. A closed circle is at negative 5. Everything to the left of the circle is shaded.

• A number line going from negative 7 to negative 1. A closed circle is at negative 5. Everything to the right of the circle is shaded.

EVALUATION

Here the given inequality is

- 4.4 ≥ 1.6x - 3.6

We now find the range of x

$\sf{ - 4.4 \geqslant 1.6x - 3.6}$

$\sf{ \implies \: 1.6x - 3.6 \leqslant - 4.4}$

$\sf{ \implies \: 1.6x \leqslant - 4.4 + 3.6}$

$\sf{ \implies \: 1.6x \leqslant - 0.8}$

$\sf{ \implies \: x \leqslant -5}$

Hence third number line in attachment is the solution

FINAL ANSWER

Hence the correct option is

A number line going from negative 7 to negative 1. A closed circle is at negative 5. Everything to the left of the circle is shaded

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