Question

The product of 8/9 and the sum of a number and – 4 is less than or equal to 64.

Answer 1

Let the number be x

ATQ,

$\sf \frac{8}{9} (x - 4) \leqslant 64$

Note that

• Product means ×
• Sum means +
• Less than or equal to means ≤

Solve the equation for x ~

$\sf \: x - 4 \leqslant 72$

$\sf \: x \leqslant 72 + 4$

$\boxed{ \tt \: x \leqslant 76}$

Answer 2

Answer:

$x\leq 76$

Step-by-step explanation:

Let x = unknown number

$\implies \dfrac89 \times (x-4)\leq 64$

$\implies \dfrac{8(x-4)}{9}\leq 64$

Multiply both sides by 9:

$\implies 8(x-4)\leq 576$

Expand brackets:

$\implies 8x-32\leq 576$

Add 32 to both sides:

$\implies 8x\leq 608$

Divide both sides by 8:

$\implies x\leq 76$